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Finding the Fourth Proportional to 2,509.34, 3,463 and 1,447.26

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Solution

The fourth proportional to 2,509.34, 3,463 and 1,447.26 is: 1,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.34 : 3,463 = 1,447.26 : x
  2. Step 2: Convert to fraction form
    2,509.34/3,463 = 1,447.26/x
  3. Step 3: Cross multiply
    2,509.34x = 3,463 × 1,447.26
  4. Step 4: Simplify right side
    2,509.34x = 5,011,861.38
  5. Step 5: Solve for x
    x = 5,011,861.38/2,509.34
  6. Step 6: Final answer
    x = 1,997.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.