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Finding the Fourth Proportional to 2,254.15, 3,381.90 and 867.61

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Solution

The fourth proportional to 2,254.15, 3,381.90 and 867.61 is: 1,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.15 : 3,381.90 = 867.61 : x
  2. Step 2: Convert to fraction form
    2,254.15/3,381.90 = 867.61/x
  3. Step 3: Cross multiply
    2,254.15x = 3,381.90 × 867.61
  4. Step 4: Simplify right side
    2,254.15x = 2,934,170.26
  5. Step 5: Solve for x
    x = 2,934,170.26/2,254.15
  6. Step 6: Final answer
    x = 1,301.67

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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.