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Finding the Fourth Proportional to 2,057.22, 3,083.94 and 886.68

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Solution

The fourth proportional to 2,057.22, 3,083.94 and 886.68 is: 1,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.22 : 3,083.94 = 886.68 : x
  2. Step 2: Convert to fraction form
    2,057.22/3,083.94 = 886.68/x
  3. Step 3: Cross multiply
    2,057.22x = 3,083.94 × 886.68
  4. Step 4: Simplify right side
    2,057.22x = 2,734,467.92
  5. Step 5: Solve for x
    x = 2,734,467.92/2,057.22
  6. Step 6: Final answer
    x = 1,329.21

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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.