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Finding the Fourth Proportional to 1,790.92, 2,472.31 and 1,194.41

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Solution

The fourth proportional to 1,790.92, 2,472.31 and 1,194.41 is: 1,648.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.92 : 2,472.31 = 1,194.41 : x
  2. Step 2: Convert to fraction form
    1,790.92/2,472.31 = 1,194.41/x
  3. Step 3: Cross multiply
    1,790.92x = 2,472.31 × 1,194.41
  4. Step 4: Simplify right side
    1,790.92x = 2,952,959.46
  5. Step 5: Solve for x
    x = 2,952,959.46/1,790.92
  6. Step 6: Final answer
    x = 1,648.85

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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.