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Finding the Fourth Proportional to 2,801.20, 4,201.80 and 2,072.20

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Solution

The fourth proportional to 2,801.20, 4,201.80 and 2,072.20 is: 3,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.20 : 4,201.80 = 2,072.20 : x
  2. Step 2: Convert to fraction form
    2,801.20/4,201.80 = 2,072.20/x
  3. Step 3: Cross multiply
    2,801.20x = 4,201.80 × 2,072.20
  4. Step 4: Simplify right side
    2,801.20x = 8,706,969.96
  5. Step 5: Solve for x
    x = 8,706,969.96/2,801.20
  6. Step 6: Final answer
    x = 3,108.30

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1.5x scale

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.