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Finding the Fourth Proportional to 2,695.70, 4,043.71 and 747.86

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Solution

The fourth proportional to 2,695.70, 4,043.71 and 747.86 is: 1,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.70 : 4,043.71 = 747.86 : x
  2. Step 2: Convert to fraction form
    2,695.70/4,043.71 = 747.86/x
  3. Step 3: Cross multiply
    2,695.70x = 4,043.71 × 747.86
  4. Step 4: Simplify right side
    2,695.70x = 3,024,128.96
  5. Step 5: Solve for x
    x = 3,024,128.96/2,695.70
  6. Step 6: Final answer
    x = 1,121.83

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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.