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Finding the Fourth Proportional to 2,801.71, 4,202.68 and 827.34

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Solution

The fourth proportional to 2,801.71, 4,202.68 and 827.34 is: 1,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.71 : 4,202.68 = 827.34 : x
  2. Step 2: Convert to fraction form
    2,801.71/4,202.68 = 827.34/x
  3. Step 3: Cross multiply
    2,801.71x = 4,202.68 × 827.34
  4. Step 4: Simplify right side
    2,801.71x = 3,477,041.98
  5. Step 5: Solve for x
    x = 3,477,041.98/2,801.71
  6. Step 6: Final answer
    x = 1,241.04

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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.