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Finding the Fourth Proportional to 2,126.78, 3,190.32 and 566.78

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Solution

The fourth proportional to 2,126.78, 3,190.32 and 566.78 is: 850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.78 : 3,190.32 = 566.78 : x
  2. Step 2: Convert to fraction form
    2,126.78/3,190.32 = 566.78/x
  3. Step 3: Cross multiply
    2,126.78x = 3,190.32 × 566.78
  4. Step 4: Simplify right side
    2,126.78x = 1,808,200.50
  5. Step 5: Solve for x
    x = 1,808,200.50/2,126.78
  6. Step 6: Final answer
    x = 850.21

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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.