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Finding the Fourth Proportional to 2,725.52, 3,760 and 2,094.92

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Solution

The fourth proportional to 2,725.52, 3,760 and 2,094.92 is: 2,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.52 : 3,760 = 2,094.92 : x
  2. Step 2: Convert to fraction form
    2,725.52/3,760 = 2,094.92/x
  3. Step 3: Cross multiply
    2,725.52x = 3,760 × 2,094.92
  4. Step 4: Simplify right side
    2,725.52x = 7,876,899.20
  5. Step 5: Solve for x
    x = 7,876,899.20/2,725.52
  6. Step 6: Final answer
    x = 2,890.05

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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.