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Finding the Fourth Proportional to 4,261.78, 6,392.64 and 1,183.78

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Solution

The fourth proportional to 4,261.78, 6,392.64 and 1,183.78 is: 1,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261.78 : 6,392.64 = 1,183.78 : x
  2. Step 2: Convert to fraction form
    4,261.78/6,392.64 = 1,183.78/x
  3. Step 3: Cross multiply
    4,261.78x = 6,392.64 × 1,183.78
  4. Step 4: Simplify right side
    4,261.78x = 7,567,479.38
  5. Step 5: Solve for x
    x = 7,567,479.38/4,261.78
  6. Step 6: Final answer
    x = 1,775.66

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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.