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Finding the Fourth Proportional to 2,219.46, 3,062.86 and 1,224.80

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Solution

The fourth proportional to 2,219.46, 3,062.86 and 1,224.80 is: 1,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.46 : 3,062.86 = 1,224.80 : x
  2. Step 2: Convert to fraction form
    2,219.46/3,062.86 = 1,224.80/x
  3. Step 3: Cross multiply
    2,219.46x = 3,062.86 × 1,224.80
  4. Step 4: Simplify right side
    2,219.46x = 3,751,390.93
  5. Step 5: Solve for x
    x = 3,751,390.93/2,219.46
  6. Step 6: Final answer
    x = 1,690.23

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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.