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Finding the Fourth Proportional to 2,562.30, 3,842.10 and 918.90

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Solution

The fourth proportional to 2,562.30, 3,842.10 and 918.90 is: 1,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.30 : 3,842.10 = 918.90 : x
  2. Step 2: Convert to fraction form
    2,562.30/3,842.10 = 918.90/x
  3. Step 3: Cross multiply
    2,562.30x = 3,842.10 × 918.90
  4. Step 4: Simplify right side
    2,562.30x = 3,530,505.69
  5. Step 5: Solve for x
    x = 3,530,505.69/2,562.30
  6. Step 6: Final answer
    x = 1,377.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.