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Finding the Fourth Proportional to 2,865.77, 3,952.52 and 1,921.26

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Solution

The fourth proportional to 2,865.77, 3,952.52 and 1,921.26 is: 2,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.77 : 3,952.52 = 1,921.26 : x
  2. Step 2: Convert to fraction form
    2,865.77/3,952.52 = 1,921.26/x
  3. Step 3: Cross multiply
    2,865.77x = 3,952.52 × 1,921.26
  4. Step 4: Simplify right side
    2,865.77x = 7,593,808.97
  5. Step 5: Solve for x
    x = 7,593,808.97/2,865.77
  6. Step 6: Final answer
    x = 2,649.83

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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.