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Finding the Fourth Proportional to 2,754.50, 4,128.10 and 2,020.64

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Solution

The fourth proportional to 2,754.50, 4,128.10 and 2,020.64 is: 3,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.50 : 4,128.10 = 2,020.64 : x
  2. Step 2: Convert to fraction form
    2,754.50/4,128.10 = 2,020.64/x
  3. Step 3: Cross multiply
    2,754.50x = 4,128.10 × 2,020.64
  4. Step 4: Simplify right side
    2,754.50x = 8,341,378.29
  5. Step 5: Solve for x
    x = 8,341,378.29/2,754.50
  6. Step 6: Final answer
    x = 3,028.28

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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.