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Finding the Fourth Proportional to 2,865.69, 4,301.24 and 1,772.19

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Solution

The fourth proportional to 2,865.69, 4,301.24 and 1,772.19 is: 2,659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.69 : 4,301.24 = 1,772.19 : x
  2. Step 2: Convert to fraction form
    2,865.69/4,301.24 = 1,772.19/x
  3. Step 3: Cross multiply
    2,865.69x = 4,301.24 × 1,772.19
  4. Step 4: Simplify right side
    2,865.69x = 7,622,605.65
  5. Step 5: Solve for x
    x = 7,622,605.65/2,865.69
  6. Step 6: Final answer
    x = 2,659.95

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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.