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Finding the Fourth Proportional to 2,255.15, 3,381.91 and 867.77

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Solution

The fourth proportional to 2,255.15, 3,381.91 and 867.77 is: 1,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.15 : 3,381.91 = 867.77 : x
  2. Step 2: Convert to fraction form
    2,255.15/3,381.91 = 867.77/x
  3. Step 3: Cross multiply
    2,255.15x = 3,381.91 × 867.77
  4. Step 4: Simplify right side
    2,255.15x = 2,934,726.33
  5. Step 5: Solve for x
    x = 2,934,726.33/2,255.15
  6. Step 6: Final answer
    x = 1,301.35

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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.