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Finding the Fourth Proportional to 1,356.43, 1,872.84 and 915.13

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Solution

The fourth proportional to 1,356.43, 1,872.84 and 915.13 is: 1,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.43 : 1,872.84 = 915.13 : x
  2. Step 2: Convert to fraction form
    1,356.43/1,872.84 = 915.13/x
  3. Step 3: Cross multiply
    1,356.43x = 1,872.84 × 915.13
  4. Step 4: Simplify right side
    1,356.43x = 1,713,892.07
  5. Step 5: Solve for x
    x = 1,713,892.07/1,356.43
  6. Step 6: Final answer
    x = 1,263.53

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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.