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Finding the Fourth Proportional to 1,614.56, 2,227.98 and 916.04

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Solution

The fourth proportional to 1,614.56, 2,227.98 and 916.04 is: 1,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.56 : 2,227.98 = 916.04 : x
  2. Step 2: Convert to fraction form
    1,614.56/2,227.98 = 916.04/x
  3. Step 3: Cross multiply
    1,614.56x = 2,227.98 × 916.04
  4. Step 4: Simplify right side
    1,614.56x = 2,040,918.80
  5. Step 5: Solve for x
    x = 2,040,918.80/1,614.56
  6. Step 6: Final answer
    x = 1,264.07

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