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Finding the Fourth Proportional to 2,111.06, 3,166.23 and 878.14

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Solution

The fourth proportional to 2,111.06, 3,166.23 and 878.14 is: 1,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.06 : 3,166.23 = 878.14 : x
  2. Step 2: Convert to fraction form
    2,111.06/3,166.23 = 878.14/x
  3. Step 3: Cross multiply
    2,111.06x = 3,166.23 × 878.14
  4. Step 4: Simplify right side
    2,111.06x = 2,780,377.38
  5. Step 5: Solve for x
    x = 2,780,377.38/2,111.06
  6. Step 6: Final answer
    x = 1,317.05

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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.