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Finding the Fourth Proportional to 2,149.89, 3,222.95 and 852.27

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Solution

The fourth proportional to 2,149.89, 3,222.95 and 852.27 is: 1,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.89 : 3,222.95 = 852.27 : x
  2. Step 2: Convert to fraction form
    2,149.89/3,222.95 = 852.27/x
  3. Step 3: Cross multiply
    2,149.89x = 3,222.95 × 852.27
  4. Step 4: Simplify right side
    2,149.89x = 2,746,819.34
  5. Step 5: Solve for x
    x = 2,746,819.34/2,149.89
  6. Step 6: Final answer
    x = 1,277.66

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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.