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Finding the Fourth Proportional to 2,166.99, 3,249.11 and 1,193.77

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Solution

The fourth proportional to 2,166.99, 3,249.11 and 1,193.77 is: 1,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.99 : 3,249.11 = 1,193.77 : x
  2. Step 2: Convert to fraction form
    2,166.99/3,249.11 = 1,193.77/x
  3. Step 3: Cross multiply
    2,166.99x = 3,249.11 × 1,193.77
  4. Step 4: Simplify right side
    2,166.99x = 3,878,705.42
  5. Step 5: Solve for x
    x = 3,878,705.42/2,166.99
  6. Step 6: Final answer
    x = 1,789.91

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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.