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Finding the Fourth Proportional to 2,671.14, 4,007.14 and 822.26

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Solution

The fourth proportional to 2,671.14, 4,007.14 and 822.26 is: 1,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.14 : 4,007.14 = 822.26 : x
  2. Step 2: Convert to fraction form
    2,671.14/4,007.14 = 822.26/x
  3. Step 3: Cross multiply
    2,671.14x = 4,007.14 × 822.26
  4. Step 4: Simplify right side
    2,671.14x = 3,294,890.90
  5. Step 5: Solve for x
    x = 3,294,890.90/2,671.14
  6. Step 6: Final answer
    x = 1,233.52

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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.