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Finding the Fourth Proportional to 1,659.48, 2,489.07 and 734.19

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Solution

The fourth proportional to 1,659.48, 2,489.07 and 734.19 is: 1,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.48 : 2,489.07 = 734.19 : x
  2. Step 2: Convert to fraction form
    1,659.48/2,489.07 = 734.19/x
  3. Step 3: Cross multiply
    1,659.48x = 2,489.07 × 734.19
  4. Step 4: Simplify right side
    1,659.48x = 1,827,450.30
  5. Step 5: Solve for x
    x = 1,827,450.30/1,659.48
  6. Step 6: Final answer
    x = 1,101.22

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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.