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Finding the Fourth Proportional to 2,786.16, 4,205.42 and 2,786.16

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Solution

The fourth proportional to 2,786.16, 4,205.42 and 2,786.16 is: 4,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.16 : 4,205.42 = 2,786.16 : x
  2. Step 2: Convert to fraction form
    2,786.16/4,205.42 = 2,786.16/x
  3. Step 3: Cross multiply
    2,786.16x = 4,205.42 × 2,786.16
  4. Step 4: Simplify right side
    2,786.16x = 11,716,972.99
  5. Step 5: Solve for x
    x = 11,716,972.99/2,786.16
  6. Step 6: Final answer
    x = 4,205.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.