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Finding the Fourth Proportional to 2,201.48, 3,302.16 and 902.64

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Solution

The fourth proportional to 2,201.48, 3,302.16 and 902.64 is: 1,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.48 : 3,302.16 = 902.64 : x
  2. Step 2: Convert to fraction form
    2,201.48/3,302.16 = 902.64/x
  3. Step 3: Cross multiply
    2,201.48x = 3,302.16 × 902.64
  4. Step 4: Simplify right side
    2,201.48x = 2,980,661.70
  5. Step 5: Solve for x
    x = 2,980,661.70/2,201.48
  6. Step 6: Final answer
    x = 1,353.94

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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.