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Finding the Fourth Proportional to 2,193.40, 3,027.72 and 1,308.88

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Solution

The fourth proportional to 2,193.40, 3,027.72 and 1,308.88 is: 1,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.40 : 3,027.72 = 1,308.88 : x
  2. Step 2: Convert to fraction form
    2,193.40/3,027.72 = 1,308.88/x
  3. Step 3: Cross multiply
    2,193.40x = 3,027.72 × 1,308.88
  4. Step 4: Simplify right side
    2,193.40x = 3,962,922.15
  5. Step 5: Solve for x
    x = 3,962,922.15/2,193.40
  6. Step 6: Final answer
    x = 1,806.75

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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.