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Finding the Fourth Proportional to 2,111.94, 3,168.36 and 879.62

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Solution

The fourth proportional to 2,111.94, 3,168.36 and 879.62 is: 1,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.94 : 3,168.36 = 879.62 : x
  2. Step 2: Convert to fraction form
    2,111.94/3,168.36 = 879.62/x
  3. Step 3: Cross multiply
    2,111.94x = 3,168.36 × 879.62
  4. Step 4: Simplify right side
    2,111.94x = 2,786,952.82
  5. Step 5: Solve for x
    x = 2,786,952.82/2,111.94
  6. Step 6: Final answer
    x = 1,319.62

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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.