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Finding the Fourth Proportional to 2,676.90, 3,691.53 and 2,087.22

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Solution

The fourth proportional to 2,676.90, 3,691.53 and 2,087.22 is: 2,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.90 : 3,691.53 = 2,087.22 : x
  2. Step 2: Convert to fraction form
    2,676.90/3,691.53 = 2,087.22/x
  3. Step 3: Cross multiply
    2,676.90x = 3,691.53 × 2,087.22
  4. Step 4: Simplify right side
    2,676.90x = 7,705,035.25
  5. Step 5: Solve for x
    x = 7,705,035.25/2,676.90
  6. Step 6: Final answer
    x = 2,878.34

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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.