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Finding the Fourth Proportional to 1,561.73, 2,155.20 and 1,229.54

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Solution

The fourth proportional to 1,561.73, 2,155.20 and 1,229.54 is: 1,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.73 : 2,155.20 = 1,229.54 : x
  2. Step 2: Convert to fraction form
    1,561.73/2,155.20 = 1,229.54/x
  3. Step 3: Cross multiply
    1,561.73x = 2,155.20 × 1,229.54
  4. Step 4: Simplify right side
    1,561.73x = 2,649,904.61
  5. Step 5: Solve for x
    x = 2,649,904.61/1,561.73
  6. Step 6: Final answer
    x = 1,696.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.