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Finding the Fourth Proportional to 2,112.81, 3,165.96 and 879.18

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Solution

The fourth proportional to 2,112.81, 3,165.96 and 879.18 is: 1,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.81 : 3,165.96 = 879.18 : x
  2. Step 2: Convert to fraction form
    2,112.81/3,165.96 = 879.18/x
  3. Step 3: Cross multiply
    2,112.81x = 3,165.96 × 879.18
  4. Step 4: Simplify right side
    2,112.81x = 2,783,448.71
  5. Step 5: Solve for x
    x = 2,783,448.71/2,112.81
  6. Step 6: Final answer
    x = 1,317.42

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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.