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Finding the Fourth Proportional to 1,764.85, 2,435.32 and 978.83

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Solution

The fourth proportional to 1,764.85, 2,435.32 and 978.83 is: 1,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.85 : 2,435.32 = 978.83 : x
  2. Step 2: Convert to fraction form
    1,764.85/2,435.32 = 978.83/x
  3. Step 3: Cross multiply
    1,764.85x = 2,435.32 × 978.83
  4. Step 4: Simplify right side
    1,764.85x = 2,383,764.28
  5. Step 5: Solve for x
    x = 2,383,764.28/1,764.85
  6. Step 6: Final answer
    x = 1,350.69

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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.