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Finding the Fourth Proportional to 2,196.37, 3,292.40 and 879.76

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Solution

The fourth proportional to 2,196.37, 3,292.40 and 879.76 is: 1,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.37 : 3,292.40 = 879.76 : x
  2. Step 2: Convert to fraction form
    2,196.37/3,292.40 = 879.76/x
  3. Step 3: Cross multiply
    2,196.37x = 3,292.40 × 879.76
  4. Step 4: Simplify right side
    2,196.37x = 2,896,523.19
  5. Step 5: Solve for x
    x = 2,896,523.19/2,196.37
  6. Step 6: Final answer
    x = 1,318.78

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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.