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Finding the Fourth Proportional to 2,704.38, 3,732.20 and 1,642.24

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Solution

The fourth proportional to 2,704.38, 3,732.20 and 1,642.24 is: 2,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.38 : 3,732.20 = 1,642.24 : x
  2. Step 2: Convert to fraction form
    2,704.38/3,732.20 = 1,642.24/x
  3. Step 3: Cross multiply
    2,704.38x = 3,732.20 × 1,642.24
  4. Step 4: Simplify right side
    2,704.38x = 6,129,168.13
  5. Step 5: Solve for x
    x = 6,129,168.13/2,704.38
  6. Step 6: Final answer
    x = 2,266.39

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1.5x scale

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.