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Finding the Fourth Proportional to 1,613.83, 2,227.31 and 915.25

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Solution

The fourth proportional to 1,613.83, 2,227.31 and 915.25 is: 1,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.83 : 2,227.31 = 915.25 : x
  2. Step 2: Convert to fraction form
    1,613.83/2,227.31 = 915.25/x
  3. Step 3: Cross multiply
    1,613.83x = 2,227.31 × 915.25
  4. Step 4: Simplify right side
    1,613.83x = 2,038,545.48
  5. Step 5: Solve for x
    x = 2,038,545.48/1,613.83
  6. Step 6: Final answer
    x = 1,263.17

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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.