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Finding the Fourth Proportional to 3,109.73, 4,292.30 and 2,048.27

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Solution

The fourth proportional to 3,109.73, 4,292.30 and 2,048.27 is: 2,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.73 : 4,292.30 = 2,048.27 : x
  2. Step 2: Convert to fraction form
    3,109.73/4,292.30 = 2,048.27/x
  3. Step 3: Cross multiply
    3,109.73x = 4,292.30 × 2,048.27
  4. Step 4: Simplify right side
    3,109.73x = 8,791,772.98
  5. Step 5: Solve for x
    x = 8,791,772.98/3,109.73
  6. Step 6: Final answer
    x = 2,827.19

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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.