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Finding the Fourth Proportional to 2,111.18, 3,165.07 and 879.52

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Solution

The fourth proportional to 2,111.18, 3,165.07 and 879.52 is: 1,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.18 : 3,165.07 = 879.52 : x
  2. Step 2: Convert to fraction form
    2,111.18/3,165.07 = 879.52/x
  3. Step 3: Cross multiply
    2,111.18x = 3,165.07 × 879.52
  4. Step 4: Simplify right side
    2,111.18x = 2,783,730.06
  5. Step 5: Solve for x
    x = 2,783,730.06/2,111.18
  6. Step 6: Final answer
    x = 1,318.57

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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.