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Finding the Fourth Proportional to 2,144.14, 2,960.76 and 1,651.66

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Solution

The fourth proportional to 2,144.14, 2,960.76 and 1,651.66 is: 2,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.14 : 2,960.76 = 1,651.66 : x
  2. Step 2: Convert to fraction form
    2,144.14/2,960.76 = 1,651.66/x
  3. Step 3: Cross multiply
    2,144.14x = 2,960.76 × 1,651.66
  4. Step 4: Simplify right side
    2,144.14x = 4,890,168.86
  5. Step 5: Solve for x
    x = 4,890,168.86/2,144.14
  6. Step 6: Final answer
    x = 2,280.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.