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Finding the Fourth Proportional to 2,761.96, 4,142.94 and 1,301.23

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Solution

The fourth proportional to 2,761.96, 4,142.94 and 1,301.23 is: 1,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.96 : 4,142.94 = 1,301.23 : x
  2. Step 2: Convert to fraction form
    2,761.96/4,142.94 = 1,301.23/x
  3. Step 3: Cross multiply
    2,761.96x = 4,142.94 × 1,301.23
  4. Step 4: Simplify right side
    2,761.96x = 5,390,907.46
  5. Step 5: Solve for x
    x = 5,390,907.46/2,761.96
  6. Step 6: Final answer
    x = 1,951.84

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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.