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Finding the Fourth Proportional to 4,261.78, 6,393.58 and 1,340.31

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Solution

The fourth proportional to 4,261.78, 6,393.58 and 1,340.31 is: 2,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261.78 : 6,393.58 = 1,340.31 : x
  2. Step 2: Convert to fraction form
    4,261.78/6,393.58 = 1,340.31/x
  3. Step 3: Cross multiply
    4,261.78x = 6,393.58 × 1,340.31
  4. Step 4: Simplify right side
    4,261.78x = 8,569,375.86
  5. Step 5: Solve for x
    x = 8,569,375.86/4,261.78
  6. Step 6: Final answer
    x = 2,010.75

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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.