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Finding the Fourth Proportional to 3,102.30, 4,654.20 and 911.04

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Solution

The fourth proportional to 3,102.30, 4,654.20 and 911.04 is: 1,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.30 : 4,654.20 = 911.04 : x
  2. Step 2: Convert to fraction form
    3,102.30/4,654.20 = 911.04/x
  3. Step 3: Cross multiply
    3,102.30x = 4,654.20 × 911.04
  4. Step 4: Simplify right side
    3,102.30x = 4,240,162.37
  5. Step 5: Solve for x
    x = 4,240,162.37/3,102.30
  6. Step 6: Final answer
    x = 1,366.78

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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.