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Finding the Fourth Proportional to 3,294.47, 4,942.01 and 1,103.83

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Solution

The fourth proportional to 3,294.47, 4,942.01 and 1,103.83 is: 1,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.47 : 4,942.01 = 1,103.83 : x
  2. Step 2: Convert to fraction form
    3,294.47/4,942.01 = 1,103.83/x
  3. Step 3: Cross multiply
    3,294.47x = 4,942.01 × 1,103.83
  4. Step 4: Simplify right side
    3,294.47x = 5,455,129.30
  5. Step 5: Solve for x
    x = 5,455,129.30/3,294.47
  6. Step 6: Final answer
    x = 1,655.84

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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.