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Finding the Fourth Proportional to 2,280.62, 3,420.92 and 1,761.37

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Solution

The fourth proportional to 2,280.62, 3,420.92 and 1,761.37 is: 2,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.62 : 3,420.92 = 1,761.37 : x
  2. Step 2: Convert to fraction form
    2,280.62/3,420.92 = 1,761.37/x
  3. Step 3: Cross multiply
    2,280.62x = 3,420.92 × 1,761.37
  4. Step 4: Simplify right side
    2,280.62x = 6,025,505.86
  5. Step 5: Solve for x
    x = 6,025,505.86/2,280.62
  6. Step 6: Final answer
    x = 2,642.05

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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.