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Finding the Fourth Proportional to 2,222.97, 3,334.76 and 817.20

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Solution

The fourth proportional to 2,222.97, 3,334.76 and 817.20 is: 1,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.97 : 3,334.76 = 817.20 : x
  2. Step 2: Convert to fraction form
    2,222.97/3,334.76 = 817.20/x
  3. Step 3: Cross multiply
    2,222.97x = 3,334.76 × 817.20
  4. Step 4: Simplify right side
    2,222.97x = 2,725,161.79
  5. Step 5: Solve for x
    x = 2,725,161.79/2,222.97
  6. Step 6: Final answer
    x = 1,225.91

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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.