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Finding the Fourth Proportional to 2,222.80, 3,334.70 and 761.86

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Solution

The fourth proportional to 2,222.80, 3,334.70 and 761.86 is: 1,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.80 : 3,334.70 = 761.86 : x
  2. Step 2: Convert to fraction form
    2,222.80/3,334.70 = 761.86/x
  3. Step 3: Cross multiply
    2,222.80x = 3,334.70 × 761.86
  4. Step 4: Simplify right side
    2,222.80x = 2,540,580.62
  5. Step 5: Solve for x
    x = 2,540,580.62/2,222.80
  6. Step 6: Final answer
    x = 1,142.97

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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.