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Finding the Fourth Proportional to 2,262.68, 3,389.82 and 1,167.72

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Solution

The fourth proportional to 2,262.68, 3,389.82 and 1,167.72 is: 1,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.68 : 3,389.82 = 1,167.72 : x
  2. Step 2: Convert to fraction form
    2,262.68/3,389.82 = 1,167.72/x
  3. Step 3: Cross multiply
    2,262.68x = 3,389.82 × 1,167.72
  4. Step 4: Simplify right side
    2,262.68x = 3,958,360.61
  5. Step 5: Solve for x
    x = 3,958,360.61/2,262.68
  6. Step 6: Final answer
    x = 1,749.41

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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.