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Finding the Fourth Proportional to 2,551.50, 3,827.22 and 1,321.32

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Solution

The fourth proportional to 2,551.50, 3,827.22 and 1,321.32 is: 1,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.50 : 3,827.22 = 1,321.32 : x
  2. Step 2: Convert to fraction form
    2,551.50/3,827.22 = 1,321.32/x
  3. Step 3: Cross multiply
    2,551.50x = 3,827.22 × 1,321.32
  4. Step 4: Simplify right side
    2,551.50x = 5,056,982.33
  5. Step 5: Solve for x
    x = 5,056,982.33/2,551.50
  6. Step 6: Final answer
    x = 1,981.96

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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.