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Finding the Fourth Proportional to 2,542.59, 3,811.46 and 810.09

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Solution

The fourth proportional to 2,542.59, 3,811.46 and 810.09 is: 1,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.59 : 3,811.46 = 810.09 : x
  2. Step 2: Convert to fraction form
    2,542.59/3,811.46 = 810.09/x
  3. Step 3: Cross multiply
    2,542.59x = 3,811.46 × 810.09
  4. Step 4: Simplify right side
    2,542.59x = 3,087,621.58
  5. Step 5: Solve for x
    x = 3,087,621.58/2,542.59
  6. Step 6: Final answer
    x = 1,214.36

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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.