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Finding the Fourth Proportional to 2,725.57, 3,763.41 and 2,095.10

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Solution

The fourth proportional to 2,725.57, 3,763.41 and 2,095.10 is: 2,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.57 : 3,763.41 = 2,095.10 : x
  2. Step 2: Convert to fraction form
    2,725.57/3,763.41 = 2,095.10/x
  3. Step 3: Cross multiply
    2,725.57x = 3,763.41 × 2,095.10
  4. Step 4: Simplify right side
    2,725.57x = 7,884,709.82
  5. Step 5: Solve for x
    x = 7,884,709.82/2,725.57
  6. Step 6: Final answer
    x = 2,892.87

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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.