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Finding the Fourth Proportional to 2,270.86, 3,133.84 and 1,276.22

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Solution

The fourth proportional to 2,270.86, 3,133.84 and 1,276.22 is: 1,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.86 : 3,133.84 = 1,276.22 : x
  2. Step 2: Convert to fraction form
    2,270.86/3,133.84 = 1,276.22/x
  3. Step 3: Cross multiply
    2,270.86x = 3,133.84 × 1,276.22
  4. Step 4: Simplify right side
    2,270.86x = 3,999,469.28
  5. Step 5: Solve for x
    x = 3,999,469.28/2,270.86
  6. Step 6: Final answer
    x = 1,761.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.