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Finding the Fourth Proportional to 2,178.46, 3,268.14 and 880.03

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Solution

The fourth proportional to 2,178.46, 3,268.14 and 880.03 is: 1,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.46 : 3,268.14 = 880.03 : x
  2. Step 2: Convert to fraction form
    2,178.46/3,268.14 = 880.03/x
  3. Step 3: Cross multiply
    2,178.46x = 3,268.14 × 880.03
  4. Step 4: Simplify right side
    2,178.46x = 2,876,061.24
  5. Step 5: Solve for x
    x = 2,876,061.24/2,178.46
  6. Step 6: Final answer
    x = 1,320.23

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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.