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Finding the Fourth Proportional to 2,804.40, 3,872.88 and 2,311.92

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Solution

The fourth proportional to 2,804.40, 3,872.88 and 2,311.92 is: 3,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.40 : 3,872.88 = 2,311.92 : x
  2. Step 2: Convert to fraction form
    2,804.40/3,872.88 = 2,311.92/x
  3. Step 3: Cross multiply
    2,804.40x = 3,872.88 × 2,311.92
  4. Step 4: Simplify right side
    2,804.40x = 8,953,788.73
  5. Step 5: Solve for x
    x = 8,953,788.73/2,804.40
  6. Step 6: Final answer
    x = 3,192.76

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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.