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Finding the Fourth Proportional to 3,093.66, 4,630.68 and 2,309.04

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Solution

The fourth proportional to 3,093.66, 4,630.68 and 2,309.04 is: 3,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.66 : 4,630.68 = 2,309.04 : x
  2. Step 2: Convert to fraction form
    3,093.66/4,630.68 = 2,309.04/x
  3. Step 3: Cross multiply
    3,093.66x = 4,630.68 × 2,309.04
  4. Step 4: Simplify right side
    3,093.66x = 10,692,425.35
  5. Step 5: Solve for x
    x = 10,692,425.35/3,093.66
  6. Step 6: Final answer
    x = 3,456.24

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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.