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Finding the Fourth Proportional to 3,223.62, 4,833 and 1,661.94

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Solution

The fourth proportional to 3,223.62, 4,833 and 1,661.94 is: 2,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.62 : 4,833 = 1,661.94 : x
  2. Step 2: Convert to fraction form
    3,223.62/4,833 = 1,661.94/x
  3. Step 3: Cross multiply
    3,223.62x = 4,833 × 1,661.94
  4. Step 4: Simplify right side
    3,223.62x = 8,032,156.02
  5. Step 5: Solve for x
    x = 8,032,156.02/3,223.62
  6. Step 6: Final answer
    x = 2,491.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.