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Finding the Fourth Proportional to 2,098.66, 3,147.30 and 711.64

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Solution

The fourth proportional to 2,098.66, 3,147.30 and 711.64 is: 1,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.66 : 3,147.30 = 711.64 : x
  2. Step 2: Convert to fraction form
    2,098.66/3,147.30 = 711.64/x
  3. Step 3: Cross multiply
    2,098.66x = 3,147.30 × 711.64
  4. Step 4: Simplify right side
    2,098.66x = 2,239,744.57
  5. Step 5: Solve for x
    x = 2,239,744.57/2,098.66
  6. Step 6: Final answer
    x = 1,067.23

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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.