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Finding the Fourth Proportional to 1,659.70, 2,489.55 and 879.40

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Solution

The fourth proportional to 1,659.70, 2,489.55 and 879.40 is: 1,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.70 : 2,489.55 = 879.40 : x
  2. Step 2: Convert to fraction form
    1,659.70/2,489.55 = 879.40/x
  3. Step 3: Cross multiply
    1,659.70x = 2,489.55 × 879.40
  4. Step 4: Simplify right side
    1,659.70x = 2,189,310.27
  5. Step 5: Solve for x
    x = 2,189,310.27/1,659.70
  6. Step 6: Final answer
    x = 1,319.10

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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.