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Finding the Fourth Proportional to 2,062.28, 3,093.37 and 502.29

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Solution

The fourth proportional to 2,062.28, 3,093.37 and 502.29 is: 753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.28 : 3,093.37 = 502.29 : x
  2. Step 2: Convert to fraction form
    2,062.28/3,093.37 = 502.29/x
  3. Step 3: Cross multiply
    2,062.28x = 3,093.37 × 502.29
  4. Step 4: Simplify right side
    2,062.28x = 1,553,768.82
  5. Step 5: Solve for x
    x = 1,553,768.82/2,062.28
  6. Step 6: Final answer
    x = 753.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.