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Finding the Fourth Proportional to 2,219.80, 3,062.97 and 1,224.94

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Solution

The fourth proportional to 2,219.80, 3,062.97 and 1,224.94 is: 1,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.80 : 3,062.97 = 1,224.94 : x
  2. Step 2: Convert to fraction form
    2,219.80/3,062.97 = 1,224.94/x
  3. Step 3: Cross multiply
    2,219.80x = 3,062.97 × 1,224.94
  4. Step 4: Simplify right side
    2,219.80x = 3,751,954.47
  5. Step 5: Solve for x
    x = 3,751,954.47/2,219.80
  6. Step 6: Final answer
    x = 1,690.22

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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.