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Finding the Fourth Proportional to 2,200.70, 3,301.02 and 902.16

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Solution

The fourth proportional to 2,200.70, 3,301.02 and 902.16 is: 1,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.70 : 3,301.02 = 902.16 : x
  2. Step 2: Convert to fraction form
    2,200.70/3,301.02 = 902.16/x
  3. Step 3: Cross multiply
    2,200.70x = 3,301.02 × 902.16
  4. Step 4: Simplify right side
    2,200.70x = 2,978,048.20
  5. Step 5: Solve for x
    x = 2,978,048.20/2,200.70
  6. Step 6: Final answer
    x = 1,353.23

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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.