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Finding the Fourth Proportional to 2,505.96, 3,761.28 and 2,160.36

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Solution

The fourth proportional to 2,505.96, 3,761.28 and 2,160.36 is: 3,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.96 : 3,761.28 = 2,160.36 : x
  2. Step 2: Convert to fraction form
    2,505.96/3,761.28 = 2,160.36/x
  3. Step 3: Cross multiply
    2,505.96x = 3,761.28 × 2,160.36
  4. Step 4: Simplify right side
    2,505.96x = 8,125,718.86
  5. Step 5: Solve for x
    x = 8,125,718.86/2,505.96
  6. Step 6: Final answer
    x = 3,242.56

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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.