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Finding the Fourth Proportional to 2,132.84, 3,199.90 and 1,351.96

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Solution

The fourth proportional to 2,132.84, 3,199.90 and 1,351.96 is: 2,028.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.84 : 3,199.90 = 1,351.96 : x
  2. Step 2: Convert to fraction form
    2,132.84/3,199.90 = 1,351.96/x
  3. Step 3: Cross multiply
    2,132.84x = 3,199.90 × 1,351.96
  4. Step 4: Simplify right side
    2,132.84x = 4,326,136.80
  5. Step 5: Solve for x
    x = 4,326,136.80/2,132.84
  6. Step 6: Final answer
    x = 2,028.35

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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.