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Finding the Fourth Proportional to 3,041.38, 4,197.11 and 1,644.13

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Solution

The fourth proportional to 3,041.38, 4,197.11 and 1,644.13 is: 2,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.38 : 4,197.11 = 1,644.13 : x
  2. Step 2: Convert to fraction form
    3,041.38/4,197.11 = 1,644.13/x
  3. Step 3: Cross multiply
    3,041.38x = 4,197.11 × 1,644.13
  4. Step 4: Simplify right side
    3,041.38x = 6,900,575.75
  5. Step 5: Solve for x
    x = 6,900,575.75/3,041.38
  6. Step 6: Final answer
    x = 2,268.90

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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.