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Finding the Fourth Proportional to 2,198.76, 3,310.98 and 1,586.70

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Solution

The fourth proportional to 2,198.76, 3,310.98 and 1,586.70 is: 2,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.76 : 3,310.98 = 1,586.70 : x
  2. Step 2: Convert to fraction form
    2,198.76/3,310.98 = 1,586.70/x
  3. Step 3: Cross multiply
    2,198.76x = 3,310.98 × 1,586.70
  4. Step 4: Simplify right side
    2,198.76x = 5,253,531.97
  5. Step 5: Solve for x
    x = 5,253,531.97/2,198.76
  6. Step 6: Final answer
    x = 2,389.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.