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Finding the Fourth Proportional to 2,193.82, 3,027.05 and 1,297.70

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Solution

The fourth proportional to 2,193.82, 3,027.05 and 1,297.70 is: 1,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.82 : 3,027.05 = 1,297.70 : x
  2. Step 2: Convert to fraction form
    2,193.82/3,027.05 = 1,297.70/x
  3. Step 3: Cross multiply
    2,193.82x = 3,027.05 × 1,297.70
  4. Step 4: Simplify right side
    2,193.82x = 3,928,221.71
  5. Step 5: Solve for x
    x = 3,928,221.71/2,193.82
  6. Step 6: Final answer
    x = 1,790.59

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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.