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Finding the Fourth Proportional to 2,087.62, 3,134.16 and 1,765.04

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Solution

The fourth proportional to 2,087.62, 3,134.16 and 1,765.04 is: 2,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.62 : 3,134.16 = 1,765.04 : x
  2. Step 2: Convert to fraction form
    2,087.62/3,134.16 = 1,765.04/x
  3. Step 3: Cross multiply
    2,087.62x = 3,134.16 × 1,765.04
  4. Step 4: Simplify right side
    2,087.62x = 5,531,902.10
  5. Step 5: Solve for x
    x = 5,531,902.10/2,087.62
  6. Step 6: Final answer
    x = 2,649.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.