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Finding the Fourth Proportional to 2,902.92, 4,354.08 and 822.90

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Solution

The fourth proportional to 2,902.92, 4,354.08 and 822.90 is: 1,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.92 : 4,354.08 = 822.90 : x
  2. Step 2: Convert to fraction form
    2,902.92/4,354.08 = 822.90/x
  3. Step 3: Cross multiply
    2,902.92x = 4,354.08 × 822.90
  4. Step 4: Simplify right side
    2,902.92x = 3,582,972.43
  5. Step 5: Solve for x
    x = 3,582,972.43/2,902.92
  6. Step 6: Final answer
    x = 1,234.26

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1.5x scale

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.