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Finding the Fourth Proportional to 2,509.49, 3,463.09 and 1,447.25

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Solution

The fourth proportional to 2,509.49, 3,463.09 and 1,447.25 is: 1,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.49 : 3,463.09 = 1,447.25 : x
  2. Step 2: Convert to fraction form
    2,509.49/3,463.09 = 1,447.25/x
  3. Step 3: Cross multiply
    2,509.49x = 3,463.09 × 1,447.25
  4. Step 4: Simplify right side
    2,509.49x = 5,011,957.00
  5. Step 5: Solve for x
    x = 5,011,957.00/2,509.49
  6. Step 6: Final answer
    x = 1,997.20

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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.