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Finding the Fourth Proportional to 2,809.24, 4,213.86 and 860.92

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Solution

The fourth proportional to 2,809.24, 4,213.86 and 860.92 is: 1,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.24 : 4,213.86 = 860.92 : x
  2. Step 2: Convert to fraction form
    2,809.24/4,213.86 = 860.92/x
  3. Step 3: Cross multiply
    2,809.24x = 4,213.86 × 860.92
  4. Step 4: Simplify right side
    2,809.24x = 3,627,796.35
  5. Step 5: Solve for x
    x = 3,627,796.35/2,809.24
  6. Step 6: Final answer
    x = 1,291.38

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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.