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Finding the Fourth Proportional to 2,193.59, 3,027.19 and 1,309.22

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Solution

The fourth proportional to 2,193.59, 3,027.19 and 1,309.22 is: 1,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.59 : 3,027.19 = 1,309.22 : x
  2. Step 2: Convert to fraction form
    2,193.59/3,027.19 = 1,309.22/x
  3. Step 3: Cross multiply
    2,193.59x = 3,027.19 × 1,309.22
  4. Step 4: Simplify right side
    2,193.59x = 3,963,257.69
  5. Step 5: Solve for x
    x = 3,963,257.69/2,193.59
  6. Step 6: Final answer
    x = 1,806.74

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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.