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Finding the Fourth Proportional to 2,132.62, 3,199.44 and 671.76

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Solution

The fourth proportional to 2,132.62, 3,199.44 and 671.76 is: 1,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.62 : 3,199.44 = 671.76 : x
  2. Step 2: Convert to fraction form
    2,132.62/3,199.44 = 671.76/x
  3. Step 3: Cross multiply
    2,132.62x = 3,199.44 × 671.76
  4. Step 4: Simplify right side
    2,132.62x = 2,149,255.81
  5. Step 5: Solve for x
    x = 2,149,255.81/2,132.62
  6. Step 6: Final answer
    x = 1,007.80

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