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Finding the Fourth Proportional to 2,781.97, 3,840.50 and 2,151.07

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Solution

The fourth proportional to 2,781.97, 3,840.50 and 2,151.07 is: 2,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.97 : 3,840.50 = 2,151.07 : x
  2. Step 2: Convert to fraction form
    2,781.97/3,840.50 = 2,151.07/x
  3. Step 3: Cross multiply
    2,781.97x = 3,840.50 × 2,151.07
  4. Step 4: Simplify right side
    2,781.97x = 8,261,180.11
  5. Step 5: Solve for x
    x = 8,261,180.11/2,781.97
  6. Step 6: Final answer
    x = 2,969.55

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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.