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Finding the Fourth Proportional to 2,166.77, 3,249.81 and 606.61

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Solution

The fourth proportional to 2,166.77, 3,249.81 and 606.61 is: 909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.77 : 3,249.81 = 606.61 : x
  2. Step 2: Convert to fraction form
    2,166.77/3,249.81 = 606.61/x
  3. Step 3: Cross multiply
    2,166.77x = 3,249.81 × 606.61
  4. Step 4: Simplify right side
    2,166.77x = 1,971,351.00
  5. Step 5: Solve for x
    x = 1,971,351.00/2,166.77
  6. Step 6: Final answer
    x = 909.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.