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Finding the Fourth Proportional to 1,996, 2,752.32 and 1,462.56

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Solution

The fourth proportional to 1,996, 2,752.32 and 1,462.56 is: 2,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996 : 2,752.32 = 1,462.56 : x
  2. Step 2: Convert to fraction form
    1,996/2,752.32 = 1,462.56/x
  3. Step 3: Cross multiply
    1,996x = 2,752.32 × 1,462.56
  4. Step 4: Simplify right side
    1,996x = 4,025,433.14
  5. Step 5: Solve for x
    x = 4,025,433.14/1,996
  6. Step 6: Final answer
    x = 2,016.75

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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.