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Finding the Fourth Proportional to 2,633.04, 3,950.15 and 878.13

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Solution

The fourth proportional to 2,633.04, 3,950.15 and 878.13 is: 1,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.04 : 3,950.15 = 878.13 : x
  2. Step 2: Convert to fraction form
    2,633.04/3,950.15 = 878.13/x
  3. Step 3: Cross multiply
    2,633.04x = 3,950.15 × 878.13
  4. Step 4: Simplify right side
    2,633.04x = 3,468,740.83
  5. Step 5: Solve for x
    x = 3,468,740.83/2,633.04
  6. Step 6: Final answer
    x = 1,317.39

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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.