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Finding the Fourth Proportional to 2,424.36, 3,633.84 and 963.12

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Solution

The fourth proportional to 2,424.36, 3,633.84 and 963.12 is: 1,443.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.36 : 3,633.84 = 963.12 : x
  2. Step 2: Convert to fraction form
    2,424.36/3,633.84 = 963.12/x
  3. Step 3: Cross multiply
    2,424.36x = 3,633.84 × 963.12
  4. Step 4: Simplify right side
    2,424.36x = 3,499,823.98
  5. Step 5: Solve for x
    x = 3,499,823.98/2,424.36
  6. Step 6: Final answer
    x = 1,443.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.