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Finding the Fourth Proportional to 2,099.90, 3,147.56 and 1,057.84

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Solution

The fourth proportional to 2,099.90, 3,147.56 and 1,057.84 is: 1,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.90 : 3,147.56 = 1,057.84 : x
  2. Step 2: Convert to fraction form
    2,099.90/3,147.56 = 1,057.84/x
  3. Step 3: Cross multiply
    2,099.90x = 3,147.56 × 1,057.84
  4. Step 4: Simplify right side
    2,099.90x = 3,329,614.87
  5. Step 5: Solve for x
    x = 3,329,614.87/2,099.90
  6. Step 6: Final answer
    x = 1,585.61

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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.