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Finding the Fourth Proportional to 2,871.56, 3,960.18 and 2,249.48

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Solution

The fourth proportional to 2,871.56, 3,960.18 and 2,249.48 is: 3,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.56 : 3,960.18 = 2,249.48 : x
  2. Step 2: Convert to fraction form
    2,871.56/3,960.18 = 2,249.48/x
  3. Step 3: Cross multiply
    2,871.56x = 3,960.18 × 2,249.48
  4. Step 4: Simplify right side
    2,871.56x = 8,908,345.71
  5. Step 5: Solve for x
    x = 8,908,345.71/2,871.56
  6. Step 6: Final answer
    x = 3,102.27

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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.