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Finding the Fourth Proportional to 2,509.45, 3,463.20 and 1,447.41

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Solution

The fourth proportional to 2,509.45, 3,463.20 and 1,447.41 is: 1,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.45 : 3,463.20 = 1,447.41 : x
  2. Step 2: Convert to fraction form
    2,509.45/3,463.20 = 1,447.41/x
  3. Step 3: Cross multiply
    2,509.45x = 3,463.20 × 1,447.41
  4. Step 4: Simplify right side
    2,509.45x = 5,012,654.88
  5. Step 5: Solve for x
    x = 5,012,654.88/2,509.45
  6. Step 6: Final answer
    x = 1,997.51

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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.