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Finding the Fourth Proportional to 1,338.85, 2,008.62 and 1,105.46

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Solution

The fourth proportional to 1,338.85, 2,008.62 and 1,105.46 is: 1,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.85 : 2,008.62 = 1,105.46 : x
  2. Step 2: Convert to fraction form
    1,338.85/2,008.62 = 1,105.46/x
  3. Step 3: Cross multiply
    1,338.85x = 2,008.62 × 1,105.46
  4. Step 4: Simplify right side
    1,338.85x = 2,220,452.49
  5. Step 5: Solve for x
    x = 2,220,452.49/1,338.85
  6. Step 6: Final answer
    x = 1,658.47

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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.