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Finding the Fourth Proportional to 2,111.24, 3,167.11 and 879.48

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Solution

The fourth proportional to 2,111.24, 3,167.11 and 879.48 is: 1,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.24 : 3,167.11 = 879.48 : x
  2. Step 2: Convert to fraction form
    2,111.24/3,167.11 = 879.48/x
  3. Step 3: Cross multiply
    2,111.24x = 3,167.11 × 879.48
  4. Step 4: Simplify right side
    2,111.24x = 2,785,409.90
  5. Step 5: Solve for x
    x = 2,785,409.90/2,111.24
  6. Step 6: Final answer
    x = 1,319.32

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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.