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Finding the Fourth Proportional to 2,166.41, 3,249.95 and 705.22

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Solution

The fourth proportional to 2,166.41, 3,249.95 and 705.22 is: 1,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.41 : 3,249.95 = 705.22 : x
  2. Step 2: Convert to fraction form
    2,166.41/3,249.95 = 705.22/x
  3. Step 3: Cross multiply
    2,166.41x = 3,249.95 × 705.22
  4. Step 4: Simplify right side
    2,166.41x = 2,291,918.09
  5. Step 5: Solve for x
    x = 2,291,918.09/2,166.41
  6. Step 6: Final answer
    x = 1,057.94

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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.