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Finding the Fourth Proportional to 2,131.52, 3,198.51 and 898.85

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Solution

The fourth proportional to 2,131.52, 3,198.51 and 898.85 is: 1,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.52 : 3,198.51 = 898.85 : x
  2. Step 2: Convert to fraction form
    2,131.52/3,198.51 = 898.85/x
  3. Step 3: Cross multiply
    2,131.52x = 3,198.51 × 898.85
  4. Step 4: Simplify right side
    2,131.52x = 2,874,964.72
  5. Step 5: Solve for x
    x = 2,874,964.72/2,131.52
  6. Step 6: Final answer
    x = 1,348.79

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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.