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Finding the Fourth Proportional to 3,121.62, 4,684.74 and 2,132.34

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Solution

The fourth proportional to 3,121.62, 4,684.74 and 2,132.34 is: 3,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.62 : 4,684.74 = 2,132.34 : x
  2. Step 2: Convert to fraction form
    3,121.62/4,684.74 = 2,132.34/x
  3. Step 3: Cross multiply
    3,121.62x = 4,684.74 × 2,132.34
  4. Step 4: Simplify right side
    3,121.62x = 9,989,458.49
  5. Step 5: Solve for x
    x = 9,989,458.49/3,121.62
  6. Step 6: Final answer
    x = 3,200.09

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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.