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Finding the Fourth Proportional to 2,818.24, 4,227.89 and 869.99

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Solution

The fourth proportional to 2,818.24, 4,227.89 and 869.99 is: 1,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.24 : 4,227.89 = 869.99 : x
  2. Step 2: Convert to fraction form
    2,818.24/4,227.89 = 869.99/x
  3. Step 3: Cross multiply
    2,818.24x = 4,227.89 × 869.99
  4. Step 4: Simplify right side
    2,818.24x = 3,678,198.71
  5. Step 5: Solve for x
    x = 3,678,198.71/2,818.24
  6. Step 6: Final answer
    x = 1,305.14

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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.