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Finding the Fourth Proportional to 2,111.05, 3,165.91 and 878.23

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Solution

The fourth proportional to 2,111.05, 3,165.91 and 878.23 is: 1,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.05 : 3,165.91 = 878.23 : x
  2. Step 2: Convert to fraction form
    2,111.05/3,165.91 = 878.23/x
  3. Step 3: Cross multiply
    2,111.05x = 3,165.91 × 878.23
  4. Step 4: Simplify right side
    2,111.05x = 2,780,387.03
  5. Step 5: Solve for x
    x = 2,780,387.03/2,111.05
  6. Step 6: Final answer
    x = 1,317.07

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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.