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Finding the Fourth Proportional to 1,387.74, 1,915.25 and 891.57

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Solution

The fourth proportional to 1,387.74, 1,915.25 and 891.57 is: 1,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.74 : 1,915.25 = 891.57 : x
  2. Step 2: Convert to fraction form
    1,387.74/1,915.25 = 891.57/x
  3. Step 3: Cross multiply
    1,387.74x = 1,915.25 × 891.57
  4. Step 4: Simplify right side
    1,387.74x = 1,707,574.98
  5. Step 5: Solve for x
    x = 1,707,574.98/1,387.74
  6. Step 6: Final answer
    x = 1,230.47

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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.