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Finding the Fourth Proportional to 2,871.15, 3,960.49 and 1,808.49

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Solution

The fourth proportional to 2,871.15, 3,960.49 and 1,808.49 is: 2,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.15 : 3,960.49 = 1,808.49 : x
  2. Step 2: Convert to fraction form
    2,871.15/3,960.49 = 1,808.49/x
  3. Step 3: Cross multiply
    2,871.15x = 3,960.49 × 1,808.49
  4. Step 4: Simplify right side
    2,871.15x = 7,162,506.56
  5. Step 5: Solve for x
    x = 7,162,506.56/2,871.15
  6. Step 6: Final answer
    x = 2,494.65

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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.