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Finding the Fourth Proportional to 2,178.92, 3,006.96 and 1,295.48

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Solution

The fourth proportional to 2,178.92, 3,006.96 and 1,295.48 is: 1,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.92 : 3,006.96 = 1,295.48 : x
  2. Step 2: Convert to fraction form
    2,178.92/3,006.96 = 1,295.48/x
  3. Step 3: Cross multiply
    2,178.92x = 3,006.96 × 1,295.48
  4. Step 4: Simplify right side
    2,178.92x = 3,895,456.54
  5. Step 5: Solve for x
    x = 3,895,456.54/2,178.92
  6. Step 6: Final answer
    x = 1,787.79

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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.