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Finding the Fourth Proportional to 2,633.02, 3,949.63 and 878.15

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Solution

The fourth proportional to 2,633.02, 3,949.63 and 878.15 is: 1,317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.02 : 3,949.63 = 878.15 : x
  2. Step 2: Convert to fraction form
    2,633.02/3,949.63 = 878.15/x
  3. Step 3: Cross multiply
    2,633.02x = 3,949.63 × 878.15
  4. Step 4: Simplify right side
    2,633.02x = 3,468,367.58
  5. Step 5: Solve for x
    x = 3,468,367.58/2,633.02
  6. Step 6: Final answer
    x = 1,317.26

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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.