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Finding the Fourth Proportional to 2,691.42, 4,034.89 and 841.38

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Solution

The fourth proportional to 2,691.42, 4,034.89 and 841.38 is: 1,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.42 : 4,034.89 = 841.38 : x
  2. Step 2: Convert to fraction form
    2,691.42/4,034.89 = 841.38/x
  3. Step 3: Cross multiply
    2,691.42x = 4,034.89 × 841.38
  4. Step 4: Simplify right side
    2,691.42x = 3,394,875.75
  5. Step 5: Solve for x
    x = 3,394,875.75/2,691.42
  6. Step 6: Final answer
    x = 1,261.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.