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Finding the Fourth Proportional to 2,446.70, 3,670.09 and 1,759.22

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Solution

The fourth proportional to 2,446.70, 3,670.09 and 1,759.22 is: 2,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.70 : 3,670.09 = 1,759.22 : x
  2. Step 2: Convert to fraction form
    2,446.70/3,670.09 = 1,759.22/x
  3. Step 3: Cross multiply
    2,446.70x = 3,670.09 × 1,759.22
  4. Step 4: Simplify right side
    2,446.70x = 6,456,468.58
  5. Step 5: Solve for x
    x = 6,456,468.58/2,446.70
  6. Step 6: Final answer
    x = 2,638.85

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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.