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Finding the Fourth Proportional to 2,865.97, 3,952.82 and 1,921.46

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Solution

The fourth proportional to 2,865.97, 3,952.82 and 1,921.46 is: 2,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.97 : 3,952.82 = 1,921.46 : x
  2. Step 2: Convert to fraction form
    2,865.97/3,952.82 = 1,921.46/x
  3. Step 3: Cross multiply
    2,865.97x = 3,952.82 × 1,921.46
  4. Step 4: Simplify right side
    2,865.97x = 7,595,185.52
  5. Step 5: Solve for x
    x = 7,595,185.52/2,865.97
  6. Step 6: Final answer
    x = 2,650.13

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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.