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Finding the Fourth Proportional to 1,531.71, 2,285.72 and 1,312.20

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Solution

The fourth proportional to 1,531.71, 2,285.72 and 1,312.20 is: 1,958.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.71 : 2,285.72 = 1,312.20 : x
  2. Step 2: Convert to fraction form
    1,531.71/2,285.72 = 1,312.20/x
  3. Step 3: Cross multiply
    1,531.71x = 2,285.72 × 1,312.20
  4. Step 4: Simplify right side
    1,531.71x = 2,999,320.14
  5. Step 5: Solve for x
    x = 2,999,320.14/1,531.71
  6. Step 6: Final answer
    x = 1,958.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.