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Finding the Fourth Proportional to 3,052.92, 4,576.14 and 1,103.70

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Solution

The fourth proportional to 3,052.92, 4,576.14 and 1,103.70 is: 1,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.92 : 4,576.14 = 1,103.70 : x
  2. Step 2: Convert to fraction form
    3,052.92/4,576.14 = 1,103.70/x
  3. Step 3: Cross multiply
    3,052.92x = 4,576.14 × 1,103.70
  4. Step 4: Simplify right side
    3,052.92x = 5,050,685.72
  5. Step 5: Solve for x
    x = 5,050,685.72/3,052.92
  6. Step 6: Final answer
    x = 1,654.38

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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.