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Finding the Fourth Proportional to 2,208.71, 3,049.44 and 1,463.92

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Solution

The fourth proportional to 2,208.71, 3,049.44 and 1,463.92 is: 2,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.71 : 3,049.44 = 1,463.92 : x
  2. Step 2: Convert to fraction form
    2,208.71/3,049.44 = 1,463.92/x
  3. Step 3: Cross multiply
    2,208.71x = 3,049.44 × 1,463.92
  4. Step 4: Simplify right side
    2,208.71x = 4,464,136.20
  5. Step 5: Solve for x
    x = 4,464,136.20/2,208.71
  6. Step 6: Final answer
    x = 2,021.15

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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.