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Finding the Fourth Proportional to 2,896.29, 4,340.12 and 2,379.92

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Solution

The fourth proportional to 2,896.29, 4,340.12 and 2,379.92 is: 3,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.29 : 4,340.12 = 2,379.92 : x
  2. Step 2: Convert to fraction form
    2,896.29/4,340.12 = 2,379.92/x
  3. Step 3: Cross multiply
    2,896.29x = 4,340.12 × 2,379.92
  4. Step 4: Simplify right side
    2,896.29x = 10,329,104.79
  5. Step 5: Solve for x
    x = 10,329,104.79/2,896.29
  6. Step 6: Final answer
    x = 3,566.32

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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.