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Finding the Fourth Proportional to 3,482.28, 4,805.70 and 2,085

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Solution

The fourth proportional to 3,482.28, 4,805.70 and 2,085 is: 2,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.28 : 4,805.70 = 2,085 : x
  2. Step 2: Convert to fraction form
    3,482.28/4,805.70 = 2,085/x
  3. Step 3: Cross multiply
    3,482.28x = 4,805.70 × 2,085
  4. Step 4: Simplify right side
    3,482.28x = 10,019,884.50
  5. Step 5: Solve for x
    x = 10,019,884.50/3,482.28
  6. Step 6: Final answer
    x = 2,877.39

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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.