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Finding the Fourth Proportional to 2,686.33, 4,029.31 and 931.29

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Solution

The fourth proportional to 2,686.33, 4,029.31 and 931.29 is: 1,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.33 : 4,029.31 = 931.29 : x
  2. Step 2: Convert to fraction form
    2,686.33/4,029.31 = 931.29/x
  3. Step 3: Cross multiply
    2,686.33x = 4,029.31 × 931.29
  4. Step 4: Simplify right side
    2,686.33x = 3,752,456.11
  5. Step 5: Solve for x
    x = 3,752,456.11/2,686.33
  6. Step 6: Final answer
    x = 1,396.87

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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.