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Finding the Fourth Proportional to 2,863.92, 3,946.68 and 2,034.48

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Solution

The fourth proportional to 2,863.92, 3,946.68 and 2,034.48 is: 2,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.92 : 3,946.68 = 2,034.48 : x
  2. Step 2: Convert to fraction form
    2,863.92/3,946.68 = 2,034.48/x
  3. Step 3: Cross multiply
    2,863.92x = 3,946.68 × 2,034.48
  4. Step 4: Simplify right side
    2,863.92x = 8,029,441.53
  5. Step 5: Solve for x
    x = 8,029,441.53/2,863.92
  6. Step 6: Final answer
    x = 2,803.65

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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.