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Finding the Fourth Proportional to 2,764.72, 3,802.24 and 2,198.53

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Solution

The fourth proportional to 2,764.72, 3,802.24 and 2,198.53 is: 3,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.72 : 3,802.24 = 2,198.53 : x
  2. Step 2: Convert to fraction form
    2,764.72/3,802.24 = 2,198.53/x
  3. Step 3: Cross multiply
    2,764.72x = 3,802.24 × 2,198.53
  4. Step 4: Simplify right side
    2,764.72x = 8,359,338.71
  5. Step 5: Solve for x
    x = 8,359,338.71/2,764.72
  6. Step 6: Final answer
    x = 3,023.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.