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Finding the Fourth Proportional to 2,733.75, 4,100.76 and 786.11

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Solution

The fourth proportional to 2,733.75, 4,100.76 and 786.11 is: 1,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.75 : 4,100.76 = 786.11 : x
  2. Step 2: Convert to fraction form
    2,733.75/4,100.76 = 786.11/x
  3. Step 3: Cross multiply
    2,733.75x = 4,100.76 × 786.11
  4. Step 4: Simplify right side
    2,733.75x = 3,223,627.94
  5. Step 5: Solve for x
    x = 3,223,627.94/2,733.75
  6. Step 6: Final answer
    x = 1,179.20

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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.