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Finding the Fourth Proportional to 2,214.26, 3,321.79 and 915.83

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Solution

The fourth proportional to 2,214.26, 3,321.79 and 915.83 is: 1,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.26 : 3,321.79 = 915.83 : x
  2. Step 2: Convert to fraction form
    2,214.26/3,321.79 = 915.83/x
  3. Step 3: Cross multiply
    2,214.26x = 3,321.79 × 915.83
  4. Step 4: Simplify right side
    2,214.26x = 3,042,194.94
  5. Step 5: Solve for x
    x = 3,042,194.94/2,214.26
  6. Step 6: Final answer
    x = 1,373.91

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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.