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Finding the Fourth Proportional to 2,166.87, 3,249.71 and 606.77

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Solution

The fourth proportional to 2,166.87, 3,249.71 and 606.77 is: 909.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.87 : 3,249.71 = 606.77 : x
  2. Step 2: Convert to fraction form
    2,166.87/3,249.71 = 606.77/x
  3. Step 3: Cross multiply
    2,166.87x = 3,249.71 × 606.77
  4. Step 4: Simplify right side
    2,166.87x = 1,971,833.90
  5. Step 5: Solve for x
    x = 1,971,833.90/2,166.87
  6. Step 6: Final answer
    x = 909.99

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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.