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Finding the Fourth Proportional to 2,878.92, 3,967.38 and 2,049.48

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Solution

The fourth proportional to 2,878.92, 3,967.38 and 2,049.48 is: 2,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.92 : 3,967.38 = 2,049.48 : x
  2. Step 2: Convert to fraction form
    2,878.92/3,967.38 = 2,049.48/x
  3. Step 3: Cross multiply
    2,878.92x = 3,967.38 × 2,049.48
  4. Step 4: Simplify right side
    2,878.92x = 8,131,065.96
  5. Step 5: Solve for x
    x = 8,131,065.96/2,878.92
  6. Step 6: Final answer
    x = 2,824.35

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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.