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Finding the Fourth Proportional to 2,087.78, 3,138.89 and 1,679.74

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Solution

The fourth proportional to 2,087.78, 3,138.89 and 1,679.74 is: 2,525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.78 : 3,138.89 = 1,679.74 : x
  2. Step 2: Convert to fraction form
    2,087.78/3,138.89 = 1,679.74/x
  3. Step 3: Cross multiply
    2,087.78x = 3,138.89 × 1,679.74
  4. Step 4: Simplify right side
    2,087.78x = 5,272,502.84
  5. Step 5: Solve for x
    x = 5,272,502.84/2,087.78
  6. Step 6: Final answer
    x = 2,525.42

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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.