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Finding the Fourth Proportional to 2,685.92, 3,705.91 and 2,057.15

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Solution

The fourth proportional to 2,685.92, 3,705.91 and 2,057.15 is: 2,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.92 : 3,705.91 = 2,057.15 : x
  2. Step 2: Convert to fraction form
    2,685.92/3,705.91 = 2,057.15/x
  3. Step 3: Cross multiply
    2,685.92x = 3,705.91 × 2,057.15
  4. Step 4: Simplify right side
    2,685.92x = 7,623,616.88
  5. Step 5: Solve for x
    x = 7,623,616.88/2,685.92
  6. Step 6: Final answer
    x = 2,838.37

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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.