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Finding the Fourth Proportional to 2,975.92, 4,463.72 and 1,028.24

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Solution

The fourth proportional to 2,975.92, 4,463.72 and 1,028.24 is: 1,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.92 : 4,463.72 = 1,028.24 : x
  2. Step 2: Convert to fraction form
    2,975.92/4,463.72 = 1,028.24/x
  3. Step 3: Cross multiply
    2,975.92x = 4,463.72 × 1,028.24
  4. Step 4: Simplify right side
    2,975.92x = 4,589,775.45
  5. Step 5: Solve for x
    x = 4,589,775.45/2,975.92
  6. Step 6: Final answer
    x = 1,542.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.