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Finding the Fourth Proportional to 3,294.51, 4,942.46 and 1,103.15

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Solution

The fourth proportional to 3,294.51, 4,942.46 and 1,103.15 is: 1,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.51 : 4,942.46 = 1,103.15 : x
  2. Step 2: Convert to fraction form
    3,294.51/4,942.46 = 1,103.15/x
  3. Step 3: Cross multiply
    3,294.51x = 4,942.46 × 1,103.15
  4. Step 4: Simplify right side
    3,294.51x = 5,452,274.75
  5. Step 5: Solve for x
    x = 5,452,274.75/3,294.51
  6. Step 6: Final answer
    x = 1,654.96

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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.