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Finding the Fourth Proportional to 2,132.88, 3,197.43 and 833.37

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Solution

The fourth proportional to 2,132.88, 3,197.43 and 833.37 is: 1,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.88 : 3,197.43 = 833.37 : x
  2. Step 2: Convert to fraction form
    2,132.88/3,197.43 = 833.37/x
  3. Step 3: Cross multiply
    2,132.88x = 3,197.43 × 833.37
  4. Step 4: Simplify right side
    2,132.88x = 2,664,642.24
  5. Step 5: Solve for x
    x = 2,664,642.24/2,132.88
  6. Step 6: Final answer
    x = 1,249.32

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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.