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Finding the Fourth Proportional to 3,001.38, 4,142.23 and 1,742.20

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Solution

The fourth proportional to 3,001.38, 4,142.23 and 1,742.20 is: 2,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.38 : 4,142.23 = 1,742.20 : x
  2. Step 2: Convert to fraction form
    3,001.38/4,142.23 = 1,742.20/x
  3. Step 3: Cross multiply
    3,001.38x = 4,142.23 × 1,742.20
  4. Step 4: Simplify right side
    3,001.38x = 7,216,593.11
  5. Step 5: Solve for x
    x = 7,216,593.11/3,001.38
  6. Step 6: Final answer
    x = 2,404.42

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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.