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Finding the Fourth Proportional to 2,179.97, 3,008.62 and 1,295.77

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Solution

The fourth proportional to 2,179.97, 3,008.62 and 1,295.77 is: 1,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.97 : 3,008.62 = 1,295.77 : x
  2. Step 2: Convert to fraction form
    2,179.97/3,008.62 = 1,295.77/x
  3. Step 3: Cross multiply
    2,179.97x = 3,008.62 × 1,295.77
  4. Step 4: Simplify right side
    2,179.97x = 3,898,479.54
  5. Step 5: Solve for x
    x = 3,898,479.54/2,179.97
  6. Step 6: Final answer
    x = 1,788.32

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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.