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Finding the Fourth Proportional to 1,609.68, 2,221.24 and 911.04

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Solution

The fourth proportional to 1,609.68, 2,221.24 and 911.04 is: 1,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.68 : 2,221.24 = 911.04 : x
  2. Step 2: Convert to fraction form
    1,609.68/2,221.24 = 911.04/x
  3. Step 3: Cross multiply
    1,609.68x = 2,221.24 × 911.04
  4. Step 4: Simplify right side
    1,609.68x = 2,023,638.49
  5. Step 5: Solve for x
    x = 2,023,638.49/1,609.68
  6. Step 6: Final answer
    x = 1,257.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.