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Finding the Fourth Proportional to 2,098.80, 3,146.91 and 712

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Solution

The fourth proportional to 2,098.80, 3,146.91 and 712 is: 1,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.80 : 3,146.91 = 712 : x
  2. Step 2: Convert to fraction form
    2,098.80/3,146.91 = 712/x
  3. Step 3: Cross multiply
    2,098.80x = 3,146.91 × 712
  4. Step 4: Simplify right side
    2,098.80x = 2,240,599.92
  5. Step 5: Solve for x
    x = 2,240,599.92/2,098.80
  6. Step 6: Final answer
    x = 1,067.56

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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.