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Finding the Fourth Proportional to 3,123.97, 4,306.72 and 2,178.39

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Solution

The fourth proportional to 3,123.97, 4,306.72 and 2,178.39 is: 3,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.97 : 4,306.72 = 2,178.39 : x
  2. Step 2: Convert to fraction form
    3,123.97/4,306.72 = 2,178.39/x
  3. Step 3: Cross multiply
    3,123.97x = 4,306.72 × 2,178.39
  4. Step 4: Simplify right side
    3,123.97x = 9,381,715.78
  5. Step 5: Solve for x
    x = 9,381,715.78/3,123.97
  6. Step 6: Final answer
    x = 3,003.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.