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Finding the Fourth Proportional to 2,618.50, 3,928.33 and 863.44

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Solution

The fourth proportional to 2,618.50, 3,928.33 and 863.44 is: 1,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.50 : 3,928.33 = 863.44 : x
  2. Step 2: Convert to fraction form
    2,618.50/3,928.33 = 863.44/x
  3. Step 3: Cross multiply
    2,618.50x = 3,928.33 × 863.44
  4. Step 4: Simplify right side
    2,618.50x = 3,391,877.26
  5. Step 5: Solve for x
    x = 3,391,877.26/2,618.50
  6. Step 6: Final answer
    x = 1,295.35

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1.5x scale

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.