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Finding the Fourth Proportional to 2,710.92, 4,063.50 and 1,151.76

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Solution

The fourth proportional to 2,710.92, 4,063.50 and 1,151.76 is: 1,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.92 : 4,063.50 = 1,151.76 : x
  2. Step 2: Convert to fraction form
    2,710.92/4,063.50 = 1,151.76/x
  3. Step 3: Cross multiply
    2,710.92x = 4,063.50 × 1,151.76
  4. Step 4: Simplify right side
    2,710.92x = 4,680,176.76
  5. Step 5: Solve for x
    x = 4,680,176.76/2,710.92
  6. Step 6: Final answer
    x = 1,726.42

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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.