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Finding the Fourth Proportional to 2,542.17, 3,813.21 and 810.75

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Solution

The fourth proportional to 2,542.17, 3,813.21 and 810.75 is: 1,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.17 : 3,813.21 = 810.75 : x
  2. Step 2: Convert to fraction form
    2,542.17/3,813.21 = 810.75/x
  3. Step 3: Cross multiply
    2,542.17x = 3,813.21 × 810.75
  4. Step 4: Simplify right side
    2,542.17x = 3,091,560.01
  5. Step 5: Solve for x
    x = 3,091,560.01/2,542.17
  6. Step 6: Final answer
    x = 1,216.11

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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.