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Finding the Fourth Proportional to 2,389.69, 3,584.14 and 634.80

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Solution

The fourth proportional to 2,389.69, 3,584.14 and 634.80 is: 952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.69 : 3,584.14 = 634.80 : x
  2. Step 2: Convert to fraction form
    2,389.69/3,584.14 = 634.80/x
  3. Step 3: Cross multiply
    2,389.69x = 3,584.14 × 634.80
  4. Step 4: Simplify right side
    2,389.69x = 2,275,208.90
  5. Step 5: Solve for x
    x = 2,275,208.90/2,389.69
  6. Step 6: Final answer
    x = 952.10

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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.