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Finding the Fourth Proportional to 2,697.57, 4,046.24 and 749.73

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Solution

The fourth proportional to 2,697.57, 4,046.24 and 749.73 is: 1,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.57 : 4,046.24 = 749.73 : x
  2. Step 2: Convert to fraction form
    2,697.57/4,046.24 = 749.73/x
  3. Step 3: Cross multiply
    2,697.57x = 4,046.24 × 749.73
  4. Step 4: Simplify right side
    2,697.57x = 3,033,583.77
  5. Step 5: Solve for x
    x = 3,033,583.77/2,697.57
  6. Step 6: Final answer
    x = 1,124.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.