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Finding the Fourth Proportional to 2,761.71, 4,142.43 and 2,456.34

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Solution

The fourth proportional to 2,761.71, 4,142.43 and 2,456.34 is: 3,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.71 : 4,142.43 = 2,456.34 : x
  2. Step 2: Convert to fraction form
    2,761.71/4,142.43 = 2,456.34/x
  3. Step 3: Cross multiply
    2,761.71x = 4,142.43 × 2,456.34
  4. Step 4: Simplify right side
    2,761.71x = 10,175,216.51
  5. Step 5: Solve for x
    x = 10,175,216.51/2,761.71
  6. Step 6: Final answer
    x = 3,684.39

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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.