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Finding the Fourth Proportional to 2,189.97, 3,281.92 and 1,147.91

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Solution

The fourth proportional to 2,189.97, 3,281.92 and 1,147.91 is: 1,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.97 : 3,281.92 = 1,147.91 : x
  2. Step 2: Convert to fraction form
    2,189.97/3,281.92 = 1,147.91/x
  3. Step 3: Cross multiply
    2,189.97x = 3,281.92 × 1,147.91
  4. Step 4: Simplify right side
    2,189.97x = 3,767,329.51
  5. Step 5: Solve for x
    x = 3,767,329.51/2,189.97
  6. Step 6: Final answer
    x = 1,720.27

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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.