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Finding the Fourth Proportional to 3,491.20, 5,238.08 and 1,760

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Solution

The fourth proportional to 3,491.20, 5,238.08 and 1,760 is: 2,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.20 : 5,238.08 = 1,760 : x
  2. Step 2: Convert to fraction form
    3,491.20/5,238.08 = 1,760/x
  3. Step 3: Cross multiply
    3,491.20x = 5,238.08 × 1,760
  4. Step 4: Simplify right side
    3,491.20x = 9,219,020.80
  5. Step 5: Solve for x
    x = 9,219,020.80/3,491.20
  6. Step 6: Final answer
    x = 2,640.65

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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.