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Finding the Fourth Proportional to 2,243.13, 3,364.67 and 577.25

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Solution

The fourth proportional to 2,243.13, 3,364.67 and 577.25 is: 865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.13 : 3,364.67 = 577.25 : x
  2. Step 2: Convert to fraction form
    2,243.13/3,364.67 = 577.25/x
  3. Step 3: Cross multiply
    2,243.13x = 3,364.67 × 577.25
  4. Step 4: Simplify right side
    2,243.13x = 1,942,236.05
  5. Step 5: Solve for x
    x = 1,942,236.05/2,243.13
  6. Step 6: Final answer
    x = 865.86

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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.