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Finding the Fourth Proportional to 3,233.08, 4,460.16 and 1,906.30

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Solution

The fourth proportional to 3,233.08, 4,460.16 and 1,906.30 is: 2,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.08 : 4,460.16 = 1,906.30 : x
  2. Step 2: Convert to fraction form
    3,233.08/4,460.16 = 1,906.30/x
  3. Step 3: Cross multiply
    3,233.08x = 4,460.16 × 1,906.30
  4. Step 4: Simplify right side
    3,233.08x = 8,502,403.01
  5. Step 5: Solve for x
    x = 8,502,403.01/3,233.08
  6. Step 6: Final answer
    x = 2,629.82

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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.