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Finding the Fourth Proportional to 2,223.28, 3,334.92 and 762.85

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Solution

The fourth proportional to 2,223.28, 3,334.92 and 762.85 is: 1,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.28 : 3,334.92 = 762.85 : x
  2. Step 2: Convert to fraction form
    2,223.28/3,334.92 = 762.85/x
  3. Step 3: Cross multiply
    2,223.28x = 3,334.92 × 762.85
  4. Step 4: Simplify right side
    2,223.28x = 2,544,043.72
  5. Step 5: Solve for x
    x = 2,544,043.72/2,223.28
  6. Step 6: Final answer
    x = 1,144.28

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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.