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Finding the Fourth Proportional to 2,111.56, 3,166.67 and 878.65

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Solution

The fourth proportional to 2,111.56, 3,166.67 and 878.65 is: 1,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.56 : 3,166.67 = 878.65 : x
  2. Step 2: Convert to fraction form
    2,111.56/3,166.67 = 878.65/x
  3. Step 3: Cross multiply
    2,111.56x = 3,166.67 × 878.65
  4. Step 4: Simplify right side
    2,111.56x = 2,782,388.88
  5. Step 5: Solve for x
    x = 2,782,388.88/2,111.56
  6. Step 6: Final answer
    x = 1,317.70

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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.