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Finding the Fourth Proportional to 2,671.16, 4,006.73 and 822.26

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Solution

The fourth proportional to 2,671.16, 4,006.73 and 822.26 is: 1,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.16 : 4,006.73 = 822.26 : x
  2. Step 2: Convert to fraction form
    2,671.16/4,006.73 = 822.26/x
  3. Step 3: Cross multiply
    2,671.16x = 4,006.73 × 822.26
  4. Step 4: Simplify right side
    2,671.16x = 3,294,549.66
  5. Step 5: Solve for x
    x = 3,294,549.66/2,671.16
  6. Step 6: Final answer
    x = 1,233.38

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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.