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Finding the Fourth Proportional to 2,132.78, 3,199.30 and 671.98

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Solution

The fourth proportional to 2,132.78, 3,199.30 and 671.98 is: 1,008.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.78 : 3,199.30 = 671.98 : x
  2. Step 2: Convert to fraction form
    2,132.78/3,199.30 = 671.98/x
  3. Step 3: Cross multiply
    2,132.78x = 3,199.30 × 671.98
  4. Step 4: Simplify right side
    2,132.78x = 2,149,865.61
  5. Step 5: Solve for x
    x = 2,149,865.61/2,132.78
  6. Step 6: Final answer
    x = 1,008.01

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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.