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Finding the Fourth Proportional to 3,482.12, 5,223.19 and 1,017

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Solution

The fourth proportional to 3,482.12, 5,223.19 and 1,017 is: 1,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.12 : 5,223.19 = 1,017 : x
  2. Step 2: Convert to fraction form
    3,482.12/5,223.19 = 1,017/x
  3. Step 3: Cross multiply
    3,482.12x = 5,223.19 × 1,017
  4. Step 4: Simplify right side
    3,482.12x = 5,311,984.23
  5. Step 5: Solve for x
    x = 5,311,984.23/3,482.12
  6. Step 6: Final answer
    x = 1,525.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,483.12, 5,224.69 and 1,018
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.