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Finding the Fourth Proportional to 2,520.97, 3,777 and 2,152.02

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Solution

The fourth proportional to 2,520.97, 3,777 and 2,152.02 is: 3,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.97 : 3,777 = 2,152.02 : x
  2. Step 2: Convert to fraction form
    2,520.97/3,777 = 2,152.02/x
  3. Step 3: Cross multiply
    2,520.97x = 3,777 × 2,152.02
  4. Step 4: Simplify right side
    2,520.97x = 8,128,179.54
  5. Step 5: Solve for x
    x = 8,128,179.54/2,520.97
  6. Step 6: Final answer
    x = 3,224.23

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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.