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Finding the Fourth Proportional to 2,121, 3,181.50 and 822.60

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Solution

The fourth proportional to 2,121, 3,181.50 and 822.60 is: 1,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121 : 3,181.50 = 822.60 : x
  2. Step 2: Convert to fraction form
    2,121/3,181.50 = 822.60/x
  3. Step 3: Cross multiply
    2,121x = 3,181.50 × 822.60
  4. Step 4: Simplify right side
    2,121x = 2,617,101.90
  5. Step 5: Solve for x
    x = 2,617,101.90/2,121
  6. Step 6: Final answer
    x = 1,233.90

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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.