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Finding the Fourth Proportional to 2,289.64, 3,434.45 and 902.22

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Solution

The fourth proportional to 2,289.64, 3,434.45 and 902.22 is: 1,353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.64 : 3,434.45 = 902.22 : x
  2. Step 2: Convert to fraction form
    2,289.64/3,434.45 = 902.22/x
  3. Step 3: Cross multiply
    2,289.64x = 3,434.45 × 902.22
  4. Step 4: Simplify right side
    2,289.64x = 3,098,624.97
  5. Step 5: Solve for x
    x = 3,098,624.97/2,289.64
  6. Step 6: Final answer
    x = 1,353.33

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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.