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Finding the Fourth Proportional to 3,095.70, 4,274.81 and 2,104.66

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Solution

The fourth proportional to 3,095.70, 4,274.81 and 2,104.66 is: 2,906.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.70 : 4,274.81 = 2,104.66 : x
  2. Step 2: Convert to fraction form
    3,095.70/4,274.81 = 2,104.66/x
  3. Step 3: Cross multiply
    3,095.70x = 4,274.81 × 2,104.66
  4. Step 4: Simplify right side
    3,095.70x = 8,997,011.09
  5. Step 5: Solve for x
    x = 8,997,011.09/3,095.70
  6. Step 6: Final answer
    x = 2,906.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.