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Finding the Fourth Proportional to 3,478.01, 4,799.66 and 1,906.20

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Solution

The fourth proportional to 3,478.01, 4,799.66 and 1,906.20 is: 2,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.01 : 4,799.66 = 1,906.20 : x
  2. Step 2: Convert to fraction form
    3,478.01/4,799.66 = 1,906.20/x
  3. Step 3: Cross multiply
    3,478.01x = 4,799.66 × 1,906.20
  4. Step 4: Simplify right side
    3,478.01x = 9,149,102.36
  5. Step 5: Solve for x
    x = 9,149,102.36/3,478.01
  6. Step 6: Final answer
    x = 2,630.56

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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.