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Finding the Fourth Proportional to 1,337.44, 2,006.04 and 1,105.42

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Solution

The fourth proportional to 1,337.44, 2,006.04 and 1,105.42 is: 1,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.44 : 2,006.04 = 1,105.42 : x
  2. Step 2: Convert to fraction form
    1,337.44/2,006.04 = 1,105.42/x
  3. Step 3: Cross multiply
    1,337.44x = 2,006.04 × 1,105.42
  4. Step 4: Simplify right side
    1,337.44x = 2,217,516.74
  5. Step 5: Solve for x
    x = 2,217,516.74/1,337.44
  6. Step 6: Final answer
    x = 1,658.03

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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.