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Finding the Fourth Proportional to 3,296.82, 4,549.64 and 2,037.58

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Solution

The fourth proportional to 3,296.82, 4,549.64 and 2,037.58 is: 2,811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.82 : 4,549.64 = 2,037.58 : x
  2. Step 2: Convert to fraction form
    3,296.82/4,549.64 = 2,037.58/x
  3. Step 3: Cross multiply
    3,296.82x = 4,549.64 × 2,037.58
  4. Step 4: Simplify right side
    3,296.82x = 9,270,255.47
  5. Step 5: Solve for x
    x = 9,270,255.47/3,296.82
  6. Step 6: Final answer
    x = 2,811.88

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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.