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Finding the Fourth Proportional to 2,208.48, 3,313.23 and 1,167.94

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Solution

The fourth proportional to 2,208.48, 3,313.23 and 1,167.94 is: 1,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.48 : 3,313.23 = 1,167.94 : x
  2. Step 2: Convert to fraction form
    2,208.48/3,313.23 = 1,167.94/x
  3. Step 3: Cross multiply
    2,208.48x = 3,313.23 × 1,167.94
  4. Step 4: Simplify right side
    2,208.48x = 3,869,653.85
  5. Step 5: Solve for x
    x = 3,869,653.85/2,208.48
  6. Step 6: Final answer
    x = 1,752.18

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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.