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Finding the Fourth Proportional to 4,640.38, 6,960.98 and 1,177.63

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Solution

The fourth proportional to 4,640.38, 6,960.98 and 1,177.63 is: 1,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.38 : 6,960.98 = 1,177.63 : x
  2. Step 2: Convert to fraction form
    4,640.38/6,960.98 = 1,177.63/x
  3. Step 3: Cross multiply
    4,640.38x = 6,960.98 × 1,177.63
  4. Step 4: Simplify right side
    4,640.38x = 8,197,452.99
  5. Step 5: Solve for x
    x = 8,197,452.99/4,640.38
  6. Step 6: Final answer
    x = 1,766.55

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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.