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Finding the Fourth Proportional to 2,178.30, 3,265.47 and 878.88

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Solution

The fourth proportional to 2,178.30, 3,265.47 and 878.88 is: 1,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.30 : 3,265.47 = 878.88 : x
  2. Step 2: Convert to fraction form
    2,178.30/3,265.47 = 878.88/x
  3. Step 3: Cross multiply
    2,178.30x = 3,265.47 × 878.88
  4. Step 4: Simplify right side
    2,178.30x = 2,869,956.27
  5. Step 5: Solve for x
    x = 2,869,956.27/2,178.30
  6. Step 6: Final answer
    x = 1,317.52

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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.