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Finding the Fourth Proportional to 2,422.94, 3,634.42 and 962.09

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Solution

The fourth proportional to 2,422.94, 3,634.42 and 962.09 is: 1,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.94 : 3,634.42 = 962.09 : x
  2. Step 2: Convert to fraction form
    2,422.94/3,634.42 = 962.09/x
  3. Step 3: Cross multiply
    2,422.94x = 3,634.42 × 962.09
  4. Step 4: Simplify right side
    2,422.94x = 3,496,639.10
  5. Step 5: Solve for x
    x = 3,496,639.10/2,422.94
  6. Step 6: Final answer
    x = 1,443.14

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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.