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Finding the Fourth Proportional to 2,098.51, 3,147.86 and 799.88

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Solution

The fourth proportional to 2,098.51, 3,147.86 and 799.88 is: 1,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.51 : 3,147.86 = 799.88 : x
  2. Step 2: Convert to fraction form
    2,098.51/3,147.86 = 799.88/x
  3. Step 3: Cross multiply
    2,098.51x = 3,147.86 × 799.88
  4. Step 4: Simplify right side
    2,098.51x = 2,517,896.52
  5. Step 5: Solve for x
    x = 2,517,896.52/2,098.51
  6. Step 6: Final answer
    x = 1,199.85

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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.