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Finding the Fourth Proportional to 2,966.88, 4,450.24 and 1,020.48

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Solution

The fourth proportional to 2,966.88, 4,450.24 and 1,020.48 is: 1,530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.88 : 4,450.24 = 1,020.48 : x
  2. Step 2: Convert to fraction form
    2,966.88/4,450.24 = 1,020.48/x
  3. Step 3: Cross multiply
    2,966.88x = 4,450.24 × 1,020.48
  4. Step 4: Simplify right side
    2,966.88x = 4,541,380.92
  5. Step 5: Solve for x
    x = 4,541,380.92/2,966.88
  6. Step 6: Final answer
    x = 1,530.69

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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.