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Finding the Fourth Proportional to 2,781.98, 4,177.74 and 2,470.33

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Solution

The fourth proportional to 2,781.98, 4,177.74 and 2,470.33 is: 3,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.98 : 4,177.74 = 2,470.33 : x
  2. Step 2: Convert to fraction form
    2,781.98/4,177.74 = 2,470.33/x
  3. Step 3: Cross multiply
    2,781.98x = 4,177.74 × 2,470.33
  4. Step 4: Simplify right side
    2,781.98x = 10,320,396.45
  5. Step 5: Solve for x
    x = 10,320,396.45/2,781.98
  6. Step 6: Final answer
    x = 3,709.73

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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.