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Finding the Fourth Proportional to 4,261.77, 6,393.42 and 1,762.97

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Solution

The fourth proportional to 4,261.77, 6,393.42 and 1,762.97 is: 2,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261.77 : 6,393.42 = 1,762.97 : x
  2. Step 2: Convert to fraction form
    4,261.77/6,393.42 = 1,762.97/x
  3. Step 3: Cross multiply
    4,261.77x = 6,393.42 × 1,762.97
  4. Step 4: Simplify right side
    4,261.77x = 11,271,375.69
  5. Step 5: Solve for x
    x = 11,271,375.69/4,261.77
  6. Step 6: Final answer
    x = 2,644.76

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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.