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Finding the Fourth Proportional to 2,865.97, 3,954.99 and 2,422.50

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Solution

The fourth proportional to 2,865.97, 3,954.99 and 2,422.50 is: 3,343.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.97 : 3,954.99 = 2,422.50 : x
  2. Step 2: Convert to fraction form
    2,865.97/3,954.99 = 2,422.50/x
  3. Step 3: Cross multiply
    2,865.97x = 3,954.99 × 2,422.50
  4. Step 4: Simplify right side
    2,865.97x = 9,580,963.28
  5. Step 5: Solve for x
    x = 9,580,963.28/2,865.97
  6. Step 6: Final answer
    x = 3,343.01

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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.