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Finding the Fourth Proportional to 1,791.92, 2,471.65 and 1,093.30

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Solution

The fourth proportional to 1,791.92, 2,471.65 and 1,093.30 is: 1,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.92 : 2,471.65 = 1,093.30 : x
  2. Step 2: Convert to fraction form
    1,791.92/2,471.65 = 1,093.30/x
  3. Step 3: Cross multiply
    1,791.92x = 2,471.65 × 1,093.30
  4. Step 4: Simplify right side
    1,791.92x = 2,702,246.03
  5. Step 5: Solve for x
    x = 2,702,246.03/1,791.92
  6. Step 6: Final answer
    x = 1,508.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.