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Finding the Fourth Proportional to 3,122.52, 4,684.78 and 2,186.44

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Solution

The fourth proportional to 3,122.52, 4,684.78 and 2,186.44 is: 3,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.52 : 4,684.78 = 2,186.44 : x
  2. Step 2: Convert to fraction form
    3,122.52/4,684.78 = 2,186.44/x
  3. Step 3: Cross multiply
    3,122.52x = 4,684.78 × 2,186.44
  4. Step 4: Simplify right side
    3,122.52x = 10,242,990.38
  5. Step 5: Solve for x
    x = 10,242,990.38/3,122.52
  6. Step 6: Final answer
    x = 3,280.36

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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.