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Finding the Fourth Proportional to 4,680.78, 7,022.54 and 1,759.31

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Solution

The fourth proportional to 4,680.78, 7,022.54 and 1,759.31 is: 2,639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.78 : 7,022.54 = 1,759.31 : x
  2. Step 2: Convert to fraction form
    4,680.78/7,022.54 = 1,759.31/x
  3. Step 3: Cross multiply
    4,680.78x = 7,022.54 × 1,759.31
  4. Step 4: Simplify right side
    4,680.78x = 12,354,846.80
  5. Step 5: Solve for x
    x = 12,354,846.80/4,680.78
  6. Step 6: Final answer
    x = 2,639.48

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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.