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Finding the Fourth Proportional to 2,695.31, 4,042.56 and 940.58

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Solution

The fourth proportional to 2,695.31, 4,042.56 and 940.58 is: 1,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.31 : 4,042.56 = 940.58 : x
  2. Step 2: Convert to fraction form
    2,695.31/4,042.56 = 940.58/x
  3. Step 3: Cross multiply
    2,695.31x = 4,042.56 × 940.58
  4. Step 4: Simplify right side
    2,695.31x = 3,802,351.08
  5. Step 5: Solve for x
    x = 3,802,351.08/2,695.31
  6. Step 6: Final answer
    x = 1,410.73

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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.