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Finding the Fourth Proportional to 2,109.52, 2,906.76 and 1,793.68

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Solution

The fourth proportional to 2,109.52, 2,906.76 and 1,793.68 is: 2,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.52 : 2,906.76 = 1,793.68 : x
  2. Step 2: Convert to fraction form
    2,109.52/2,906.76 = 1,793.68/x
  3. Step 3: Cross multiply
    2,109.52x = 2,906.76 × 1,793.68
  4. Step 4: Simplify right side
    2,109.52x = 5,213,797.28
  5. Step 5: Solve for x
    x = 5,213,797.28/2,109.52
  6. Step 6: Final answer
    x = 2,471.56

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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.