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Finding the Fourth Proportional to 1,549.91, 2,139.18 and 920.78

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Solution

The fourth proportional to 1,549.91, 2,139.18 and 920.78 is: 1,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.91 : 2,139.18 = 920.78 : x
  2. Step 2: Convert to fraction form
    1,549.91/2,139.18 = 920.78/x
  3. Step 3: Cross multiply
    1,549.91x = 2,139.18 × 920.78
  4. Step 4: Simplify right side
    1,549.91x = 1,969,703.46
  5. Step 5: Solve for x
    x = 1,969,703.46/1,549.91
  6. Step 6: Final answer
    x = 1,270.85

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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.