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Finding the Fourth Proportional to 2,141.78, 3,213.11 and 680.87

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Solution

The fourth proportional to 2,141.78, 3,213.11 and 680.87 is: 1,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.78 : 3,213.11 = 680.87 : x
  2. Step 2: Convert to fraction form
    2,141.78/3,213.11 = 680.87/x
  3. Step 3: Cross multiply
    2,141.78x = 3,213.11 × 680.87
  4. Step 4: Simplify right side
    2,141.78x = 2,187,719.94
  5. Step 5: Solve for x
    x = 2,187,719.94/2,141.78
  6. Step 6: Final answer
    x = 1,021.45

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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.