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Finding the Fourth Proportional to 2,254.11, 3,379.95 and 867.80

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Solution

The fourth proportional to 2,254.11, 3,379.95 and 867.80 is: 1,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.11 : 3,379.95 = 867.80 : x
  2. Step 2: Convert to fraction form
    2,254.11/3,379.95 = 867.80/x
  3. Step 3: Cross multiply
    2,254.11x = 3,379.95 × 867.80
  4. Step 4: Simplify right side
    2,254.11x = 2,933,103.71
  5. Step 5: Solve for x
    x = 2,933,103.71/2,254.11
  6. Step 6: Final answer
    x = 1,301.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.