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Finding the Fourth Proportional to 2,659.74, 3,989.60 and 711.89

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Solution

The fourth proportional to 2,659.74, 3,989.60 and 711.89 is: 1,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.74 : 3,989.60 = 711.89 : x
  2. Step 2: Convert to fraction form
    2,659.74/3,989.60 = 711.89/x
  3. Step 3: Cross multiply
    2,659.74x = 3,989.60 × 711.89
  4. Step 4: Simplify right side
    2,659.74x = 2,840,156.34
  5. Step 5: Solve for x
    x = 2,840,156.34/2,659.74
  6. Step 6: Final answer
    x = 1,067.83

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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.