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Finding the Fourth Proportional to 2,111.29, 3,167.75 and 878.38

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Solution

The fourth proportional to 2,111.29, 3,167.75 and 878.38 is: 1,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.29 : 3,167.75 = 878.38 : x
  2. Step 2: Convert to fraction form
    2,111.29/3,167.75 = 878.38/x
  3. Step 3: Cross multiply
    2,111.29x = 3,167.75 × 878.38
  4. Step 4: Simplify right side
    2,111.29x = 2,782,488.25
  5. Step 5: Solve for x
    x = 2,782,488.25/2,111.29
  6. Step 6: Final answer
    x = 1,317.91

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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.