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Finding the Fourth Proportional to 2,472.98, 3,713.72 and 2,195.96

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Solution

The fourth proportional to 2,472.98, 3,713.72 and 2,195.96 is: 3,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.98 : 3,713.72 = 2,195.96 : x
  2. Step 2: Convert to fraction form
    2,472.98/3,713.72 = 2,195.96/x
  3. Step 3: Cross multiply
    2,472.98x = 3,713.72 × 2,195.96
  4. Step 4: Simplify right side
    2,472.98x = 8,155,151.02
  5. Step 5: Solve for x
    x = 8,155,151.02/2,472.98
  6. Step 6: Final answer
    x = 3,297.71

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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.