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Finding the Fourth Proportional to 1,789.77, 2,684.12 and 635.25

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Solution

The fourth proportional to 1,789.77, 2,684.12 and 635.25 is: 952.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.77 : 2,684.12 = 635.25 : x
  2. Step 2: Convert to fraction form
    1,789.77/2,684.12 = 635.25/x
  3. Step 3: Cross multiply
    1,789.77x = 2,684.12 × 635.25
  4. Step 4: Simplify right side
    1,789.77x = 1,705,084.05
  5. Step 5: Solve for x
    x = 1,705,084.05/1,789.77
  6. Step 6: Final answer
    x = 952.68

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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.