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Finding the Fourth Proportional to 2,253.05, 3,379.58 and 791.87

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Solution

The fourth proportional to 2,253.05, 3,379.58 and 791.87 is: 1,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.05 : 3,379.58 = 791.87 : x
  2. Step 2: Convert to fraction form
    2,253.05/3,379.58 = 791.87/x
  3. Step 3: Cross multiply
    2,253.05x = 3,379.58 × 791.87
  4. Step 4: Simplify right side
    2,253.05x = 2,676,170.13
  5. Step 5: Solve for x
    x = 2,676,170.13/2,253.05
  6. Step 6: Final answer
    x = 1,187.80

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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.