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Finding the Fourth Proportional to 2,707.52, 4,060.98 and 759.68

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Solution

The fourth proportional to 2,707.52, 4,060.98 and 759.68 is: 1,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.52 : 4,060.98 = 759.68 : x
  2. Step 2: Convert to fraction form
    2,707.52/4,060.98 = 759.68/x
  3. Step 3: Cross multiply
    2,707.52x = 4,060.98 × 759.68
  4. Step 4: Simplify right side
    2,707.52x = 3,085,021.18
  5. Step 5: Solve for x
    x = 3,085,021.18/2,707.52
  6. Step 6: Final answer
    x = 1,139.43

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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.