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Finding the Fourth Proportional to 3,253.23, 4,489.46 and 1,761.15

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Solution

The fourth proportional to 3,253.23, 4,489.46 and 1,761.15 is: 2,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.23 : 4,489.46 = 1,761.15 : x
  2. Step 2: Convert to fraction form
    3,253.23/4,489.46 = 1,761.15/x
  3. Step 3: Cross multiply
    3,253.23x = 4,489.46 × 1,761.15
  4. Step 4: Simplify right side
    3,253.23x = 7,906,585.13
  5. Step 5: Solve for x
    x = 7,906,585.13/3,253.23
  6. Step 6: Final answer
    x = 2,430.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.