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Finding the Fourth Proportional to 2,135.97, 3,201.48 and 902.97

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Solution

The fourth proportional to 2,135.97, 3,201.48 and 902.97 is: 1,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.97 : 3,201.48 = 902.97 : x
  2. Step 2: Convert to fraction form
    2,135.97/3,201.48 = 902.97/x
  3. Step 3: Cross multiply
    2,135.97x = 3,201.48 × 902.97
  4. Step 4: Simplify right side
    2,135.97x = 2,890,840.40
  5. Step 5: Solve for x
    x = 2,890,840.40/2,135.97
  6. Step 6: Final answer
    x = 1,353.41

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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.