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Finding the Fourth Proportional to 3,239.65, 4,470.44 and 1,823.26

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Solution

The fourth proportional to 3,239.65, 4,470.44 and 1,823.26 is: 2,515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.65 : 4,470.44 = 1,823.26 : x
  2. Step 2: Convert to fraction form
    3,239.65/4,470.44 = 1,823.26/x
  3. Step 3: Cross multiply
    3,239.65x = 4,470.44 × 1,823.26
  4. Step 4: Simplify right side
    3,239.65x = 8,150,772.78
  5. Step 5: Solve for x
    x = 8,150,772.78/3,239.65
  6. Step 6: Final answer
    x = 2,515.95

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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.