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Finding the Fourth Proportional to 2,662.71, 3,995.84 and 931.34

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Solution

The fourth proportional to 2,662.71, 3,995.84 and 931.34 is: 1,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.71 : 3,995.84 = 931.34 : x
  2. Step 2: Convert to fraction form
    2,662.71/3,995.84 = 931.34/x
  3. Step 3: Cross multiply
    2,662.71x = 3,995.84 × 931.34
  4. Step 4: Simplify right side
    2,662.71x = 3,721,467.97
  5. Step 5: Solve for x
    x = 3,721,467.97/2,662.71
  6. Step 6: Final answer
    x = 1,397.62

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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.