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Finding the Fourth Proportional to 4,532.89, 6,798.57 and 1,760.80

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Solution

The fourth proportional to 4,532.89, 6,798.57 and 1,760.80 is: 2,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.89 : 6,798.57 = 1,760.80 : x
  2. Step 2: Convert to fraction form
    4,532.89/6,798.57 = 1,760.80/x
  3. Step 3: Cross multiply
    4,532.89x = 6,798.57 × 1,760.80
  4. Step 4: Simplify right side
    4,532.89x = 11,970,922.06
  5. Step 5: Solve for x
    x = 11,970,922.06/4,532.89
  6. Step 6: Final answer
    x = 2,640.90

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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.