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Finding the Fourth Proportional to 2,098.34, 3,145.97 and 1,057.86

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Solution

The fourth proportional to 2,098.34, 3,145.97 and 1,057.86 is: 1,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.34 : 3,145.97 = 1,057.86 : x
  2. Step 2: Convert to fraction form
    2,098.34/3,145.97 = 1,057.86/x
  3. Step 3: Cross multiply
    2,098.34x = 3,145.97 × 1,057.86
  4. Step 4: Simplify right side
    2,098.34x = 3,327,998.47
  5. Step 5: Solve for x
    x = 3,327,998.47/2,098.34
  6. Step 6: Final answer
    x = 1,586.02

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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.