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Finding the Fourth Proportional to 1,617.51, 2,232.18 and 918.75

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Solution

The fourth proportional to 1,617.51, 2,232.18 and 918.75 is: 1,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.51 : 2,232.18 = 918.75 : x
  2. Step 2: Convert to fraction form
    1,617.51/2,232.18 = 918.75/x
  3. Step 3: Cross multiply
    1,617.51x = 2,232.18 × 918.75
  4. Step 4: Simplify right side
    1,617.51x = 2,050,815.38
  5. Step 5: Solve for x
    x = 2,050,815.38/1,617.51
  6. Step 6: Final answer
    x = 1,267.88

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,618.51, 2,233.56 and 919.75
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.