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Finding the Fourth Proportional to 2,262.56, 3,391.10 and 1,166.33

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Solution

The fourth proportional to 2,262.56, 3,391.10 and 1,166.33 is: 1,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.56 : 3,391.10 = 1,166.33 : x
  2. Step 2: Convert to fraction form
    2,262.56/3,391.10 = 1,166.33/x
  3. Step 3: Cross multiply
    2,262.56x = 3,391.10 × 1,166.33
  4. Step 4: Simplify right side
    2,262.56x = 3,955,127.62
  5. Step 5: Solve for x
    x = 3,955,127.62/2,262.56
  6. Step 6: Final answer
    x = 1,748.07

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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.