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Finding the Fourth Proportional to 3,123.69, 4,691.61 and 2,298.71

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Solution

The fourth proportional to 3,123.69, 4,691.61 and 2,298.71 is: 3,452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.69 : 4,691.61 = 2,298.71 : x
  2. Step 2: Convert to fraction form
    3,123.69/4,691.61 = 2,298.71/x
  3. Step 3: Cross multiply
    3,123.69x = 4,691.61 × 2,298.71
  4. Step 4: Simplify right side
    3,123.69x = 10,784,627.37
  5. Step 5: Solve for x
    x = 10,784,627.37/3,123.69
  6. Step 6: Final answer
    x = 3,452.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.