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Finding the Fourth Proportional to 2,175.35, 3,262.89 and 694.54

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Solution

The fourth proportional to 2,175.35, 3,262.89 and 694.54 is: 1,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.35 : 3,262.89 = 694.54 : x
  2. Step 2: Convert to fraction form
    2,175.35/3,262.89 = 694.54/x
  3. Step 3: Cross multiply
    2,175.35x = 3,262.89 × 694.54
  4. Step 4: Simplify right side
    2,175.35x = 2,266,191.31
  5. Step 5: Solve for x
    x = 2,266,191.31/2,175.35
  6. Step 6: Final answer
    x = 1,041.76

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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.