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Finding the Fourth Proportional to 2,483.80, 3,725.71 and 634.92

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Solution

The fourth proportional to 2,483.80, 3,725.71 and 634.92 is: 952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.80 : 3,725.71 = 634.92 : x
  2. Step 2: Convert to fraction form
    2,483.80/3,725.71 = 634.92/x
  3. Step 3: Cross multiply
    2,483.80x = 3,725.71 × 634.92
  4. Step 4: Simplify right side
    2,483.80x = 2,365,515.92
  5. Step 5: Solve for x
    x = 2,365,515.92/2,483.80
  6. Step 6: Final answer
    x = 952.38

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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.