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Finding the Fourth Proportional to 1,127.43, 1,681.20 and 1,049.54

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Solution

The fourth proportional to 1,127.43, 1,681.20 and 1,049.54 is: 1,565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.43 : 1,681.20 = 1,049.54 : x
  2. Step 2: Convert to fraction form
    1,127.43/1,681.20 = 1,049.54/x
  3. Step 3: Cross multiply
    1,127.43x = 1,681.20 × 1,049.54
  4. Step 4: Simplify right side
    1,127.43x = 1,764,478.24
  5. Step 5: Solve for x
    x = 1,764,478.24/1,127.43
  6. Step 6: Final answer
    x = 1,565.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.