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Finding the Fourth Proportional to 2,262.67, 3,395.84 and 1,167.35

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Solution

The fourth proportional to 2,262.67, 3,395.84 and 1,167.35 is: 1,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.67 : 3,395.84 = 1,167.35 : x
  2. Step 2: Convert to fraction form
    2,262.67/3,395.84 = 1,167.35/x
  3. Step 3: Cross multiply
    2,262.67x = 3,395.84 × 1,167.35
  4. Step 4: Simplify right side
    2,262.67x = 3,964,111.01
  5. Step 5: Solve for x
    x = 3,964,111.01/2,262.67
  6. Step 6: Final answer
    x = 1,751.96

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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.