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Finding the Fourth Proportional to 2,098.11, 3,147.18 and 711.63

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Solution

The fourth proportional to 2,098.11, 3,147.18 and 711.63 is: 1,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.11 : 3,147.18 = 711.63 : x
  2. Step 2: Convert to fraction form
    2,098.11/3,147.18 = 711.63/x
  3. Step 3: Cross multiply
    2,098.11x = 3,147.18 × 711.63
  4. Step 4: Simplify right side
    2,098.11x = 2,239,627.70
  5. Step 5: Solve for x
    x = 2,239,627.70/2,098.11
  6. Step 6: Final answer
    x = 1,067.45

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1.5x scale

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.