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Finding the Fourth Proportional to 3,201.61, 4,418.10 and 1,785.22

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Solution

The fourth proportional to 3,201.61, 4,418.10 and 1,785.22 is: 2,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.61 : 4,418.10 = 1,785.22 : x
  2. Step 2: Convert to fraction form
    3,201.61/4,418.10 = 1,785.22/x
  3. Step 3: Cross multiply
    3,201.61x = 4,418.10 × 1,785.22
  4. Step 4: Simplify right side
    3,201.61x = 7,887,258.39
  5. Step 5: Solve for x
    x = 7,887,258.39/3,201.61
  6. Step 6: Final answer
    x = 2,463.53

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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.