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Finding the Fourth Proportional to 2,286.38, 3,429.56 and 747.38

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Solution

The fourth proportional to 2,286.38, 3,429.56 and 747.38 is: 1,121.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.38 : 3,429.56 = 747.38 : x
  2. Step 2: Convert to fraction form
    2,286.38/3,429.56 = 747.38/x
  3. Step 3: Cross multiply
    2,286.38x = 3,429.56 × 747.38
  4. Step 4: Simplify right side
    2,286.38x = 2,563,184.55
  5. Step 5: Solve for x
    x = 2,563,184.55/2,286.38
  6. Step 6: Final answer
    x = 1,121.07

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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.