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Finding the Fourth Proportional to 1,669.27, 2,505.27 and 847.78

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Solution

The fourth proportional to 1,669.27, 2,505.27 and 847.78 is: 1,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.27 : 2,505.27 = 847.78 : x
  2. Step 2: Convert to fraction form
    1,669.27/2,505.27 = 847.78/x
  3. Step 3: Cross multiply
    1,669.27x = 2,505.27 × 847.78
  4. Step 4: Simplify right side
    1,669.27x = 2,123,917.80
  5. Step 5: Solve for x
    x = 2,123,917.80/1,669.27
  6. Step 6: Final answer
    x = 1,272.36

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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.