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Finding the Fourth Proportional to 2,632.07, 3,947.68 and 878.30

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Solution

The fourth proportional to 2,632.07, 3,947.68 and 878.30 is: 1,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.07 : 3,947.68 = 878.30 : x
  2. Step 2: Convert to fraction form
    2,632.07/3,947.68 = 878.30/x
  3. Step 3: Cross multiply
    2,632.07x = 3,947.68 × 878.30
  4. Step 4: Simplify right side
    2,632.07x = 3,467,247.34
  5. Step 5: Solve for x
    x = 3,467,247.34/2,632.07
  6. Step 6: Final answer
    x = 1,317.31

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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.