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Finding the Fourth Proportional to 3,223.73, 4,448.68 and 1,807.54

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Solution

The fourth proportional to 3,223.73, 4,448.68 and 1,807.54 is: 2,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.73 : 4,448.68 = 1,807.54 : x
  2. Step 2: Convert to fraction form
    3,223.73/4,448.68 = 1,807.54/x
  3. Step 3: Cross multiply
    3,223.73x = 4,448.68 × 1,807.54
  4. Step 4: Simplify right side
    3,223.73x = 8,041,151.41
  5. Step 5: Solve for x
    x = 8,041,151.41/3,223.73
  6. Step 6: Final answer
    x = 2,494.36

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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.