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Finding the Fourth Proportional to 2,536.70, 3,805.82 and 1,797.74

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Solution

The fourth proportional to 2,536.70, 3,805.82 and 1,797.74 is: 2,697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.70 : 3,805.82 = 1,797.74 : x
  2. Step 2: Convert to fraction form
    2,536.70/3,805.82 = 1,797.74/x
  3. Step 3: Cross multiply
    2,536.70x = 3,805.82 × 1,797.74
  4. Step 4: Simplify right side
    2,536.70x = 6,841,861.37
  5. Step 5: Solve for x
    x = 6,841,861.37/2,536.70
  6. Step 6: Final answer
    x = 2,697.15

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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.