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Finding the Fourth Proportional to 2,697.53, 4,046.31 and 749.88

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Solution

The fourth proportional to 2,697.53, 4,046.31 and 749.88 is: 1,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.53 : 4,046.31 = 749.88 : x
  2. Step 2: Convert to fraction form
    2,697.53/4,046.31 = 749.88/x
  3. Step 3: Cross multiply
    2,697.53x = 4,046.31 × 749.88
  4. Step 4: Simplify right side
    2,697.53x = 3,034,246.94
  5. Step 5: Solve for x
    x = 3,034,246.94/2,697.53
  6. Step 6: Final answer
    x = 1,124.82

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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.