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Finding the Fourth Proportional to 2,261.69, 3,392.84 and 701.82

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Solution

The fourth proportional to 2,261.69, 3,392.84 and 701.82 is: 1,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.69 : 3,392.84 = 701.82 : x
  2. Step 2: Convert to fraction form
    2,261.69/3,392.84 = 701.82/x
  3. Step 3: Cross multiply
    2,261.69x = 3,392.84 × 701.82
  4. Step 4: Simplify right side
    2,261.69x = 2,381,162.97
  5. Step 5: Solve for x
    x = 2,381,162.97/2,261.69
  6. Step 6: Final answer
    x = 1,052.82

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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.