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Finding the Fourth Proportional to 3,294.35, 4,941.79 and 1,103.09

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Solution

The fourth proportional to 3,294.35, 4,941.79 and 1,103.09 is: 1,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.35 : 4,941.79 = 1,103.09 : x
  2. Step 2: Convert to fraction form
    3,294.35/4,941.79 = 1,103.09/x
  3. Step 3: Cross multiply
    3,294.35x = 4,941.79 × 1,103.09
  4. Step 4: Simplify right side
    3,294.35x = 5,451,239.13
  5. Step 5: Solve for x
    x = 5,451,239.13/3,294.35
  6. Step 6: Final answer
    x = 1,654.72

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