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Finding the Fourth Proportional to 2,149.21, 3,223.68 and 915.85

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Solution

The fourth proportional to 2,149.21, 3,223.68 and 915.85 is: 1,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.21 : 3,223.68 = 915.85 : x
  2. Step 2: Convert to fraction form
    2,149.21/3,223.68 = 915.85/x
  3. Step 3: Cross multiply
    2,149.21x = 3,223.68 × 915.85
  4. Step 4: Simplify right side
    2,149.21x = 2,952,407.33
  5. Step 5: Solve for x
    x = 2,952,407.33/2,149.21
  6. Step 6: Final answer
    x = 1,373.72

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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.