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Finding the Fourth Proportional to 1,380.91, 1,906.16 and 915.31

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Solution

The fourth proportional to 1,380.91, 1,906.16 and 915.31 is: 1,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.91 : 1,906.16 = 915.31 : x
  2. Step 2: Convert to fraction form
    1,380.91/1,906.16 = 915.31/x
  3. Step 3: Cross multiply
    1,380.91x = 1,906.16 × 915.31
  4. Step 4: Simplify right side
    1,380.91x = 1,744,727.31
  5. Step 5: Solve for x
    x = 1,744,727.31/1,380.91
  6. Step 6: Final answer
    x = 1,263.46

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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.