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Finding the Fourth Proportional to 2,166.18, 3,249.45 and 606.20

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Solution

The fourth proportional to 2,166.18, 3,249.45 and 606.20 is: 909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.18 : 3,249.45 = 606.20 : x
  2. Step 2: Convert to fraction form
    2,166.18/3,249.45 = 606.20/x
  3. Step 3: Cross multiply
    2,166.18x = 3,249.45 × 606.20
  4. Step 4: Simplify right side
    2,166.18x = 1,969,800.34
  5. Step 5: Solve for x
    x = 1,969,800.34/2,166.18
  6. Step 6: Final answer
    x = 909.34

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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.