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Finding the Fourth Proportional to 2,134.92, 3,202.71 and 902.34

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Solution

The fourth proportional to 2,134.92, 3,202.71 and 902.34 is: 1,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.92 : 3,202.71 = 902.34 : x
  2. Step 2: Convert to fraction form
    2,134.92/3,202.71 = 902.34/x
  3. Step 3: Cross multiply
    2,134.92x = 3,202.71 × 902.34
  4. Step 4: Simplify right side
    2,134.92x = 2,889,928.56
  5. Step 5: Solve for x
    x = 2,889,928.56/2,134.92
  6. Step 6: Final answer
    x = 1,353.65

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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.