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Finding the Fourth Proportional to 2,632.86, 3,949.40 and 878.00

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Solution

The fourth proportional to 2,632.86, 3,949.40 and 878.00 is: 1,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.86 : 3,949.40 = 878.00 : x
  2. Step 2: Convert to fraction form
    2,632.86/3,949.40 = 878.00/x
  3. Step 3: Cross multiply
    2,632.86x = 3,949.40 × 878.00
  4. Step 4: Simplify right side
    2,632.86x = 3,467,555.65
  5. Step 5: Solve for x
    x = 3,467,555.65/2,632.86
  6. Step 6: Final answer
    x = 1,317.03

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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.