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Finding the Fourth Proportional to 3,223.31, 4,835.57 and 1,761.66

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Solution

The fourth proportional to 3,223.31, 4,835.57 and 1,761.66 is: 2,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.31 : 4,835.57 = 1,761.66 : x
  2. Step 2: Convert to fraction form
    3,223.31/4,835.57 = 1,761.66/x
  3. Step 3: Cross multiply
    3,223.31x = 4,835.57 × 1,761.66
  4. Step 4: Simplify right side
    3,223.31x = 8,518,621.44
  5. Step 5: Solve for x
    x = 8,518,621.44/3,223.31
  6. Step 6: Final answer
    x = 2,642.82

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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.