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Finding the Fourth Proportional to 3,294.62, 4,941.82 and 1,102.76

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Solution

The fourth proportional to 3,294.62, 4,941.82 and 1,102.76 is: 1,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.62 : 4,941.82 = 1,102.76 : x
  2. Step 2: Convert to fraction form
    3,294.62/4,941.82 = 1,102.76/x
  3. Step 3: Cross multiply
    3,294.62x = 4,941.82 × 1,102.76
  4. Step 4: Simplify right side
    3,294.62x = 5,449,641.42
  5. Step 5: Solve for x
    x = 5,449,641.42/3,294.62
  6. Step 6: Final answer
    x = 1,654.10

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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.