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Finding the Fourth Proportional to 3,031.38, 4,182.12 and 1,704.78

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Solution

The fourth proportional to 3,031.38, 4,182.12 and 1,704.78 is: 2,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.38 : 4,182.12 = 1,704.78 : x
  2. Step 2: Convert to fraction form
    3,031.38/4,182.12 = 1,704.78/x
  3. Step 3: Cross multiply
    3,031.38x = 4,182.12 × 1,704.78
  4. Step 4: Simplify right side
    3,031.38x = 7,129,594.53
  5. Step 5: Solve for x
    x = 7,129,594.53/3,031.38
  6. Step 6: Final answer
    x = 2,351.93

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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.