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Finding the Fourth Proportional to 2,712.80, 4,049.28 and 2,343.52

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Solution

The fourth proportional to 2,712.80, 4,049.28 and 2,343.52 is: 3,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.80 : 4,049.28 = 2,343.52 : x
  2. Step 2: Convert to fraction form
    2,712.80/4,049.28 = 2,343.52/x
  3. Step 3: Cross multiply
    2,712.80x = 4,049.28 × 2,343.52
  4. Step 4: Simplify right side
    2,712.80x = 9,489,568.67
  5. Step 5: Solve for x
    x = 9,489,568.67/2,712.80
  6. Step 6: Final answer
    x = 3,498.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.