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Finding the Fourth Proportional to 2,542, 3,813 and 810.76

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Solution

The fourth proportional to 2,542, 3,813 and 810.76 is: 1,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542 : 3,813 = 810.76 : x
  2. Step 2: Convert to fraction form
    2,542/3,813 = 810.76/x
  3. Step 3: Cross multiply
    2,542x = 3,813 × 810.76
  4. Step 4: Simplify right side
    2,542x = 3,091,427.88
  5. Step 5: Solve for x
    x = 3,091,427.88/2,542
  6. Step 6: Final answer
    x = 1,216.14

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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.