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Finding the Fourth Proportional to 2,042.37, 3,061.82 and 931.39

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Solution

The fourth proportional to 2,042.37, 3,061.82 and 931.39 is: 1,396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.37 : 3,061.82 = 931.39 : x
  2. Step 2: Convert to fraction form
    2,042.37/3,061.82 = 931.39/x
  3. Step 3: Cross multiply
    2,042.37x = 3,061.82 × 931.39
  4. Step 4: Simplify right side
    2,042.37x = 2,851,739.04
  5. Step 5: Solve for x
    x = 2,851,739.04/2,042.37
  6. Step 6: Final answer
    x = 1,396.29

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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.