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Finding the Fourth Proportional to 3,201.13, 4,417.83 and 1,804.15

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Solution

The fourth proportional to 3,201.13, 4,417.83 and 1,804.15 is: 2,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.13 : 4,417.83 = 1,804.15 : x
  2. Step 2: Convert to fraction form
    3,201.13/4,417.83 = 1,804.15/x
  3. Step 3: Cross multiply
    3,201.13x = 4,417.83 × 1,804.15
  4. Step 4: Simplify right side
    3,201.13x = 7,970,427.99
  5. Step 5: Solve for x
    x = 7,970,427.99/3,201.13
  6. Step 6: Final answer
    x = 2,489.88

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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.