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Finding the Fourth Proportional to 2,643.38, 3,647.52 and 1,524.36

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Solution

The fourth proportional to 2,643.38, 3,647.52 and 1,524.36 is: 2,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.38 : 3,647.52 = 1,524.36 : x
  2. Step 2: Convert to fraction form
    2,643.38/3,647.52 = 1,524.36/x
  3. Step 3: Cross multiply
    2,643.38x = 3,647.52 × 1,524.36
  4. Step 4: Simplify right side
    2,643.38x = 5,560,133.59
  5. Step 5: Solve for x
    x = 5,560,133.59/2,643.38
  6. Step 6: Final answer
    x = 2,103.42

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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.