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Finding the Fourth Proportional to 2,149.07, 3,223.83 and 916.61

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Solution

The fourth proportional to 2,149.07, 3,223.83 and 916.61 is: 1,375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.07 : 3,223.83 = 916.61 : x
  2. Step 2: Convert to fraction form
    2,149.07/3,223.83 = 916.61/x
  3. Step 3: Cross multiply
    2,149.07x = 3,223.83 × 916.61
  4. Step 4: Simplify right side
    2,149.07x = 2,954,978.70
  5. Step 5: Solve for x
    x = 2,954,978.70/2,149.07
  6. Step 6: Final answer
    x = 1,375.01

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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.