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Finding the Fourth Proportional to 1,759.28, 2,635.35 and 835.71

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Solution

The fourth proportional to 1,759.28, 2,635.35 and 835.71 is: 1,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.28 : 2,635.35 = 835.71 : x
  2. Step 2: Convert to fraction form
    1,759.28/2,635.35 = 835.71/x
  3. Step 3: Cross multiply
    1,759.28x = 2,635.35 × 835.71
  4. Step 4: Simplify right side
    1,759.28x = 2,202,388.35
  5. Step 5: Solve for x
    x = 2,202,388.35/1,759.28
  6. Step 6: Final answer
    x = 1,251.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.