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Finding the Fourth Proportional to 2,111.03, 3,167.49 and 878.71

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Solution

The fourth proportional to 2,111.03, 3,167.49 and 878.71 is: 1,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.03 : 3,167.49 = 878.71 : x
  2. Step 2: Convert to fraction form
    2,111.03/3,167.49 = 878.71/x
  3. Step 3: Cross multiply
    2,111.03x = 3,167.49 × 878.71
  4. Step 4: Simplify right side
    2,111.03x = 2,783,289.30
  5. Step 5: Solve for x
    x = 2,783,289.30/2,111.03
  6. Step 6: Final answer
    x = 1,318.45

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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.