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Finding the Fourth Proportional to 2,697.46, 4,049.57 and 2,572.81

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Solution

The fourth proportional to 2,697.46, 4,049.57 and 2,572.81 is: 3,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.46 : 4,049.57 = 2,572.81 : x
  2. Step 2: Convert to fraction form
    2,697.46/4,049.57 = 2,572.81/x
  3. Step 3: Cross multiply
    2,697.46x = 4,049.57 × 2,572.81
  4. Step 4: Simplify right side
    2,697.46x = 10,418,770.50
  5. Step 5: Solve for x
    x = 10,418,770.50/2,697.46
  6. Step 6: Final answer
    x = 3,862.44

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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.