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Finding the Fourth Proportional to 2,098.81, 3,149.24 and 1,486.45

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Solution

The fourth proportional to 2,098.81, 3,149.24 and 1,486.45 is: 2,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.81 : 3,149.24 = 1,486.45 : x
  2. Step 2: Convert to fraction form
    2,098.81/3,149.24 = 1,486.45/x
  3. Step 3: Cross multiply
    2,098.81x = 3,149.24 × 1,486.45
  4. Step 4: Simplify right side
    2,098.81x = 4,681,187.80
  5. Step 5: Solve for x
    x = 4,681,187.80/2,098.81
  6. Step 6: Final answer
    x = 2,230.40

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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.