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Finding the Fourth Proportional to 1,764.82, 2,435.57 and 978.82

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Solution

The fourth proportional to 1,764.82, 2,435.57 and 978.82 is: 1,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.82 : 2,435.57 = 978.82 : x
  2. Step 2: Convert to fraction form
    1,764.82/2,435.57 = 978.82/x
  3. Step 3: Cross multiply
    1,764.82x = 2,435.57 × 978.82
  4. Step 4: Simplify right side
    1,764.82x = 2,383,977.31
  5. Step 5: Solve for x
    x = 2,383,977.31/1,764.82
  6. Step 6: Final answer
    x = 1,350.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.