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Finding the Fourth Proportional to 2,166.57, 3,249.05 and 933.89

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Solution

The fourth proportional to 2,166.57, 3,249.05 and 933.89 is: 1,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.57 : 3,249.05 = 933.89 : x
  2. Step 2: Convert to fraction form
    2,166.57/3,249.05 = 933.89/x
  3. Step 3: Cross multiply
    2,166.57x = 3,249.05 × 933.89
  4. Step 4: Simplify right side
    2,166.57x = 3,034,234.39
  5. Step 5: Solve for x
    x = 3,034,234.39/2,166.57
  6. Step 6: Final answer
    x = 1,400.48

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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.