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Finding the Fourth Proportional to 2,149.73, 3,223.20 and 916.80

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Solution

The fourth proportional to 2,149.73, 3,223.20 and 916.80 is: 1,374.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.73 : 3,223.20 = 916.80 : x
  2. Step 2: Convert to fraction form
    2,149.73/3,223.20 = 916.80/x
  3. Step 3: Cross multiply
    2,149.73x = 3,223.20 × 916.80
  4. Step 4: Simplify right side
    2,149.73x = 2,955,029.76
  5. Step 5: Solve for x
    x = 2,955,029.76/2,149.73
  6. Step 6: Final answer
    x = 1,374.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.