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Finding the Fourth Proportional to 2,627.33, 3,938.55 and 984.95

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Solution

The fourth proportional to 2,627.33, 3,938.55 and 984.95 is: 1,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.33 : 3,938.55 = 984.95 : x
  2. Step 2: Convert to fraction form
    2,627.33/3,938.55 = 984.95/x
  3. Step 3: Cross multiply
    2,627.33x = 3,938.55 × 984.95
  4. Step 4: Simplify right side
    2,627.33x = 3,879,255.13
  5. Step 5: Solve for x
    x = 3,879,255.13/2,627.33
  6. Step 6: Final answer
    x = 1,476.50

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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.