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Finding the Fourth Proportional to 2,634.13, 3,951.80 and 902.75

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Solution

The fourth proportional to 2,634.13, 3,951.80 and 902.75 is: 1,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.13 : 3,951.80 = 902.75 : x
  2. Step 2: Convert to fraction form
    2,634.13/3,951.80 = 902.75/x
  3. Step 3: Cross multiply
    2,634.13x = 3,951.80 × 902.75
  4. Step 4: Simplify right side
    2,634.13x = 3,567,487.45
  5. Step 5: Solve for x
    x = 3,567,487.45/2,634.13
  6. Step 6: Final answer
    x = 1,354.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.