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Finding the Fourth Proportional to 1,659.39, 2,489.54 and 672.54

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Solution

The fourth proportional to 1,659.39, 2,489.54 and 672.54 is: 1,008.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.39 : 2,489.54 = 672.54 : x
  2. Step 2: Convert to fraction form
    1,659.39/2,489.54 = 672.54/x
  3. Step 3: Cross multiply
    1,659.39x = 2,489.54 × 672.54
  4. Step 4: Simplify right side
    1,659.39x = 1,674,311.87
  5. Step 5: Solve for x
    x = 1,674,311.87/1,659.39
  6. Step 6: Final answer
    x = 1,008.99

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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.