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Finding the Fourth Proportional to 2,634.15, 3,951.45 and 902.79

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Solution

The fourth proportional to 2,634.15, 3,951.45 and 902.79 is: 1,354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.15 : 3,951.45 = 902.79 : x
  2. Step 2: Convert to fraction form
    2,634.15/3,951.45 = 902.79/x
  3. Step 3: Cross multiply
    2,634.15x = 3,951.45 × 902.79
  4. Step 4: Simplify right side
    2,634.15x = 3,567,329.55
  5. Step 5: Solve for x
    x = 3,567,329.55/2,634.15
  6. Step 6: Final answer
    x = 1,354.26

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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.