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Finding the Fourth Proportional to 2,031.31, 3,046.94 and 570.38

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Solution

The fourth proportional to 2,031.31, 3,046.94 and 570.38 is: 855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.31 : 3,046.94 = 570.38 : x
  2. Step 2: Convert to fraction form
    2,031.31/3,046.94 = 570.38/x
  3. Step 3: Cross multiply
    2,031.31x = 3,046.94 × 570.38
  4. Step 4: Simplify right side
    2,031.31x = 1,737,910.79
  5. Step 5: Solve for x
    x = 1,737,910.79/2,031.31
  6. Step 6: Final answer
    x = 855.56

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