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Finding the Fourth Proportional to 2,806.92, 3,869.91 and 1,921.19

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Solution

The fourth proportional to 2,806.92, 3,869.91 and 1,921.19 is: 2,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.92 : 3,869.91 = 1,921.19 : x
  2. Step 2: Convert to fraction form
    2,806.92/3,869.91 = 1,921.19/x
  3. Step 3: Cross multiply
    2,806.92x = 3,869.91 × 1,921.19
  4. Step 4: Simplify right side
    2,806.92x = 7,434,813.04
  5. Step 5: Solve for x
    x = 7,434,813.04/2,806.92
  6. Step 6: Final answer
    x = 2,648.74

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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.