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Finding the Fourth Proportional to 2,266.92, 3,400.36 and 806.06

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Solution

The fourth proportional to 2,266.92, 3,400.36 and 806.06 is: 1,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.92 : 3,400.36 = 806.06 : x
  2. Step 2: Convert to fraction form
    2,266.92/3,400.36 = 806.06/x
  3. Step 3: Cross multiply
    2,266.92x = 3,400.36 × 806.06
  4. Step 4: Simplify right side
    2,266.92x = 2,740,894.18
  5. Step 5: Solve for x
    x = 2,740,894.18/2,266.92
  6. Step 6: Final answer
    x = 1,209.08

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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.