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Finding the Fourth Proportional to 2,046.71, 3,069.76 and 747.88

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Solution

The fourth proportional to 2,046.71, 3,069.76 and 747.88 is: 1,121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.71 : 3,069.76 = 747.88 : x
  2. Step 2: Convert to fraction form
    2,046.71/3,069.76 = 747.88/x
  3. Step 3: Cross multiply
    2,046.71x = 3,069.76 × 747.88
  4. Step 4: Simplify right side
    2,046.71x = 2,295,812.11
  5. Step 5: Solve for x
    x = 2,295,812.11/2,046.71
  6. Step 6: Final answer
    x = 1,121.71

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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.