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Finding the Fourth Proportional to 3,075.92, 4,614.46 and 1,760.31

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Solution

The fourth proportional to 3,075.92, 4,614.46 and 1,760.31 is: 2,640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.92 : 4,614.46 = 1,760.31 : x
  2. Step 2: Convert to fraction form
    3,075.92/4,614.46 = 1,760.31/x
  3. Step 3: Cross multiply
    3,075.92x = 4,614.46 × 1,760.31
  4. Step 4: Simplify right side
    3,075.92x = 8,122,860.23
  5. Step 5: Solve for x
    x = 8,122,860.23/3,075.92
  6. Step 6: Final answer
    x = 2,640.79

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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.