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Finding the Fourth Proportional to 3,223.92, 4,448.97 and 1,807.74

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Solution

The fourth proportional to 3,223.92, 4,448.97 and 1,807.74 is: 2,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.92 : 4,448.97 = 1,807.74 : x
  2. Step 2: Convert to fraction form
    3,223.92/4,448.97 = 1,807.74/x
  3. Step 3: Cross multiply
    3,223.92x = 4,448.97 × 1,807.74
  4. Step 4: Simplify right side
    3,223.92x = 8,042,581.03
  5. Step 5: Solve for x
    x = 8,042,581.03/3,223.92
  6. Step 6: Final answer
    x = 2,494.66

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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.