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Finding the Fourth Proportional to 2,219.73, 3,063.17 and 1,224.98

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Solution

The fourth proportional to 2,219.73, 3,063.17 and 1,224.98 is: 1,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.73 : 3,063.17 = 1,224.98 : x
  2. Step 2: Convert to fraction form
    2,219.73/3,063.17 = 1,224.98/x
  3. Step 3: Cross multiply
    2,219.73x = 3,063.17 × 1,224.98
  4. Step 4: Simplify right side
    2,219.73x = 3,752,300.55
  5. Step 5: Solve for x
    x = 3,752,300.55/2,219.73
  6. Step 6: Final answer
    x = 1,690.43

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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.