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Finding the Fourth Proportional to 2,695.67, 4,043.51 and 747.73

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Solution

The fourth proportional to 2,695.67, 4,043.51 and 747.73 is: 1,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.67 : 4,043.51 = 747.73 : x
  2. Step 2: Convert to fraction form
    2,695.67/4,043.51 = 747.73/x
  3. Step 3: Cross multiply
    2,695.67x = 4,043.51 × 747.73
  4. Step 4: Simplify right side
    2,695.67x = 3,023,453.73
  5. Step 5: Solve for x
    x = 3,023,453.73/2,695.67
  6. Step 6: Final answer
    x = 1,121.60

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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.