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Finding the Fourth Proportional to 3,056.22, 4,217.22 and 1,797.66

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Solution

The fourth proportional to 3,056.22, 4,217.22 and 1,797.66 is: 2,480.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.22 : 4,217.22 = 1,797.66 : x
  2. Step 2: Convert to fraction form
    3,056.22/4,217.22 = 1,797.66/x
  3. Step 3: Cross multiply
    3,056.22x = 4,217.22 × 1,797.66
  4. Step 4: Simplify right side
    3,056.22x = 7,581,127.71
  5. Step 5: Solve for x
    x = 7,581,127.71/3,056.22
  6. Step 6: Final answer
    x = 2,480.56

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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.