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Finding the Fourth Proportional to 3,198.77, 4,415.24 and 2,079.82

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Solution

The fourth proportional to 3,198.77, 4,415.24 and 2,079.82 is: 2,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.77 : 4,415.24 = 2,079.82 : x
  2. Step 2: Convert to fraction form
    3,198.77/4,415.24 = 2,079.82/x
  3. Step 3: Cross multiply
    3,198.77x = 4,415.24 × 2,079.82
  4. Step 4: Simplify right side
    3,198.77x = 9,182,915.18
  5. Step 5: Solve for x
    x = 9,182,915.18/3,198.77
  6. Step 6: Final answer
    x = 2,870.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.