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Finding the Fourth Proportional to 2,794.92, 3,856.05 and 2,167.98

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Solution

The fourth proportional to 2,794.92, 3,856.05 and 2,167.98 is: 2,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.92 : 3,856.05 = 2,167.98 : x
  2. Step 2: Convert to fraction form
    2,794.92/3,856.05 = 2,167.98/x
  3. Step 3: Cross multiply
    2,794.92x = 3,856.05 × 2,167.98
  4. Step 4: Simplify right side
    2,794.92x = 8,359,839.28
  5. Step 5: Solve for x
    x = 8,359,839.28/2,794.92
  6. Step 6: Final answer
    x = 2,991.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.