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Finding the Fourth Proportional to 2,441, 3,661.50 and 902

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Solution

The fourth proportional to 2,441, 3,661.50 and 902 is: 1,353

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441 : 3,661.50 = 902 : x
  2. Step 2: Convert to fraction form
    2,441/3,661.50 = 902/x
  3. Step 3: Cross multiply
    2,441x = 3,661.50 × 902
  4. Step 4: Simplify right side
    2,441x = 3,302,673
  5. Step 5: Solve for x
    x = 3,302,673/2,441
  6. Step 6: Final answer
    x = 1,353

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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.