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Finding the Fourth Proportional to 2,725.83, 3,754.48 and 2,095.15

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Solution

The fourth proportional to 2,725.83, 3,754.48 and 2,095.15 is: 2,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.83 : 3,754.48 = 2,095.15 : x
  2. Step 2: Convert to fraction form
    2,725.83/3,754.48 = 2,095.15/x
  3. Step 3: Cross multiply
    2,725.83x = 3,754.48 × 2,095.15
  4. Step 4: Simplify right side
    2,725.83x = 7,866,188.30
  5. Step 5: Solve for x
    x = 7,866,188.30/2,725.83
  6. Step 6: Final answer
    x = 2,885.80

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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.