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Finding the Fourth Proportional to 2,132.77, 3,199.49 and 671.79

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Solution

The fourth proportional to 2,132.77, 3,199.49 and 671.79 is: 1,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.77 : 3,199.49 = 671.79 : x
  2. Step 2: Convert to fraction form
    2,132.77/3,199.49 = 671.79/x
  3. Step 3: Cross multiply
    2,132.77x = 3,199.49 × 671.79
  4. Step 4: Simplify right side
    2,132.77x = 2,149,385.39
  5. Step 5: Solve for x
    x = 2,149,385.39/2,132.77
  6. Step 6: Final answer
    x = 1,007.79

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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.