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Finding the Fourth Proportional to 1,489.01, 2,228.25 and 1,098.09

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Solution

The fourth proportional to 1,489.01, 2,228.25 and 1,098.09 is: 1,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.01 : 2,228.25 = 1,098.09 : x
  2. Step 2: Convert to fraction form
    1,489.01/2,228.25 = 1,098.09/x
  3. Step 3: Cross multiply
    1,489.01x = 2,228.25 × 1,098.09
  4. Step 4: Simplify right side
    1,489.01x = 2,446,819.04
  5. Step 5: Solve for x
    x = 2,446,819.04/1,489.01
  6. Step 6: Final answer
    x = 1,643.25

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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.