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Finding the Fourth Proportional to 2,622.20, 3,933.90 and 773.24

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Solution

The fourth proportional to 2,622.20, 3,933.90 and 773.24 is: 1,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.20 : 3,933.90 = 773.24 : x
  2. Step 2: Convert to fraction form
    2,622.20/3,933.90 = 773.24/x
  3. Step 3: Cross multiply
    2,622.20x = 3,933.90 × 773.24
  4. Step 4: Simplify right side
    2,622.20x = 3,041,829.17
  5. Step 5: Solve for x
    x = 3,041,829.17/2,622.20
  6. Step 6: Final answer
    x = 1,160.03

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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.