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Finding the Fourth Proportional to 1,542.70, 2,125.92 and 1,076.14

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Solution

The fourth proportional to 1,542.70, 2,125.92 and 1,076.14 is: 1,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.70 : 2,125.92 = 1,076.14 : x
  2. Step 2: Convert to fraction form
    1,542.70/2,125.92 = 1,076.14/x
  3. Step 3: Cross multiply
    1,542.70x = 2,125.92 × 1,076.14
  4. Step 4: Simplify right side
    1,542.70x = 2,287,787.55
  5. Step 5: Solve for x
    x = 2,287,787.55/1,542.70
  6. Step 6: Final answer
    x = 1,482.98

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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.