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Finding the Fourth Proportional to 1,488.46, 2,230.89 and 1,074.73

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Solution

The fourth proportional to 1,488.46, 2,230.89 and 1,074.73 is: 1,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.46 : 2,230.89 = 1,074.73 : x
  2. Step 2: Convert to fraction form
    1,488.46/2,230.89 = 1,074.73/x
  3. Step 3: Cross multiply
    1,488.46x = 2,230.89 × 1,074.73
  4. Step 4: Simplify right side
    1,488.46x = 2,397,604.41
  5. Step 5: Solve for x
    x = 2,397,604.41/1,488.46
  6. Step 6: Final answer
    x = 1,610.80

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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.