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Finding the Fourth Proportional to 2,179.44, 3,007.89 and 1,295.25

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Solution

The fourth proportional to 2,179.44, 3,007.89 and 1,295.25 is: 1,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.44 : 3,007.89 = 1,295.25 : x
  2. Step 2: Convert to fraction form
    2,179.44/3,007.89 = 1,295.25/x
  3. Step 3: Cross multiply
    2,179.44x = 3,007.89 × 1,295.25
  4. Step 4: Simplify right side
    2,179.44x = 3,895,948.01
  5. Step 5: Solve for x
    x = 3,895,948.01/2,179.44
  6. Step 6: Final answer
    x = 1,787.59

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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.