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Finding the Fourth Proportional to 1,764.99, 2,643.84 and 1,635.39

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Solution

The fourth proportional to 1,764.99, 2,643.84 and 1,635.39 is: 2,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.99 : 2,643.84 = 1,635.39 : x
  2. Step 2: Convert to fraction form
    1,764.99/2,643.84 = 1,635.39/x
  3. Step 3: Cross multiply
    1,764.99x = 2,643.84 × 1,635.39
  4. Step 4: Simplify right side
    1,764.99x = 4,323,709.50
  5. Step 5: Solve for x
    x = 4,323,709.50/1,764.99
  6. Step 6: Final answer
    x = 2,449.71

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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.