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Finding the Fourth Proportional to 2,167.02, 3,249.54 and 933.84

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Solution

The fourth proportional to 2,167.02, 3,249.54 and 933.84 is: 1,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.02 : 3,249.54 = 933.84 : x
  2. Step 2: Convert to fraction form
    2,167.02/3,249.54 = 933.84/x
  3. Step 3: Cross multiply
    2,167.02x = 3,249.54 × 933.84
  4. Step 4: Simplify right side
    2,167.02x = 3,034,550.43
  5. Step 5: Solve for x
    x = 3,034,550.43/2,167.02
  6. Step 6: Final answer
    x = 1,400.33

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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.