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Finding the Fourth Proportional to 2,193.13, 3,286.86 and 1,640.98

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Solution

The fourth proportional to 2,193.13, 3,286.86 and 1,640.98 is: 2,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.13 : 3,286.86 = 1,640.98 : x
  2. Step 2: Convert to fraction form
    2,193.13/3,286.86 = 1,640.98/x
  3. Step 3: Cross multiply
    2,193.13x = 3,286.86 × 1,640.98
  4. Step 4: Simplify right side
    2,193.13x = 5,393,671.52
  5. Step 5: Solve for x
    x = 5,393,671.52/2,193.13
  6. Step 6: Final answer
    x = 2,459.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.