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Finding the Fourth Proportional to 2,425.12, 3,347 and 1,377.20

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Solution

The fourth proportional to 2,425.12, 3,347 and 1,377.20 is: 1,900.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.12 : 3,347 = 1,377.20 : x
  2. Step 2: Convert to fraction form
    2,425.12/3,347 = 1,377.20/x
  3. Step 3: Cross multiply
    2,425.12x = 3,347 × 1,377.20
  4. Step 4: Simplify right side
    2,425.12x = 4,609,488.40
  5. Step 5: Solve for x
    x = 4,609,488.40/2,425.12
  6. Step 6: Final answer
    x = 1,900.73

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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.