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Finding the Fourth Proportional to 2,461.71, 3,693.20 and 818.27

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Solution

The fourth proportional to 2,461.71, 3,693.20 and 818.27 is: 1,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.71 : 3,693.20 = 818.27 : x
  2. Step 2: Convert to fraction form
    2,461.71/3,693.20 = 818.27/x
  3. Step 3: Cross multiply
    2,461.71x = 3,693.20 × 818.27
  4. Step 4: Simplify right side
    2,461.71x = 3,022,034.76
  5. Step 5: Solve for x
    x = 3,022,034.76/2,461.71
  6. Step 6: Final answer
    x = 1,227.62

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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.