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Finding the Fourth Proportional to 2,659.45, 3,988.87 and 711.81

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Solution

The fourth proportional to 2,659.45, 3,988.87 and 711.81 is: 1,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.45 : 3,988.87 = 711.81 : x
  2. Step 2: Convert to fraction form
    2,659.45/3,988.87 = 711.81/x
  3. Step 3: Cross multiply
    2,659.45x = 3,988.87 × 711.81
  4. Step 4: Simplify right side
    2,659.45x = 2,839,317.55
  5. Step 5: Solve for x
    x = 2,839,317.55/2,659.45
  6. Step 6: Final answer
    x = 1,067.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.