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Finding the Fourth Proportional to 2,761.48, 4,132.50 and 2,107

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Solution

The fourth proportional to 2,761.48, 4,132.50 and 2,107 is: 3,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.48 : 4,132.50 = 2,107 : x
  2. Step 2: Convert to fraction form
    2,761.48/4,132.50 = 2,107/x
  3. Step 3: Cross multiply
    2,761.48x = 4,132.50 × 2,107
  4. Step 4: Simplify right side
    2,761.48x = 8,707,177.50
  5. Step 5: Solve for x
    x = 8,707,177.50/2,761.48
  6. Step 6: Final answer
    x = 3,153.08

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Why These Related Problems?

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