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Finding the Fourth Proportional to 2,179.04, 3,268.72 and 880.48

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Solution

The fourth proportional to 2,179.04, 3,268.72 and 880.48 is: 1,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.04 : 3,268.72 = 880.48 : x
  2. Step 2: Convert to fraction form
    2,179.04/3,268.72 = 880.48/x
  3. Step 3: Cross multiply
    2,179.04x = 3,268.72 × 880.48
  4. Step 4: Simplify right side
    2,179.04x = 2,878,042.59
  5. Step 5: Solve for x
    x = 2,878,042.59/2,179.04
  6. Step 6: Final answer
    x = 1,320.78

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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.