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Finding the Fourth Proportional to 2,098.72, 3,149.30 and 1,986.13

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Solution

The fourth proportional to 2,098.72, 3,149.30 and 1,986.13 is: 2,980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.72 : 3,149.30 = 1,986.13 : x
  2. Step 2: Convert to fraction form
    2,098.72/3,149.30 = 1,986.13/x
  3. Step 3: Cross multiply
    2,098.72x = 3,149.30 × 1,986.13
  4. Step 4: Simplify right side
    2,098.72x = 6,254,919.21
  5. Step 5: Solve for x
    x = 6,254,919.21/2,098.72
  6. Step 6: Final answer
    x = 2,980.35

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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.