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Finding the Fourth Proportional to 2,562.57, 3,844.26 and 1,101.74

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Solution

The fourth proportional to 2,562.57, 3,844.26 and 1,101.74 is: 1,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.57 : 3,844.26 = 1,101.74 : x
  2. Step 2: Convert to fraction form
    2,562.57/3,844.26 = 1,101.74/x
  3. Step 3: Cross multiply
    2,562.57x = 3,844.26 × 1,101.74
  4. Step 4: Simplify right side
    2,562.57x = 4,235,355.79
  5. Step 5: Solve for x
    x = 4,235,355.79/2,562.57
  6. Step 6: Final answer
    x = 1,652.78

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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.