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Finding the Fourth Proportional to 2,057.90, 3,086.17 and 670.87

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Solution

The fourth proportional to 2,057.90, 3,086.17 and 670.87 is: 1,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.90 : 3,086.17 = 670.87 : x
  2. Step 2: Convert to fraction form
    2,057.90/3,086.17 = 670.87/x
  3. Step 3: Cross multiply
    2,057.90x = 3,086.17 × 670.87
  4. Step 4: Simplify right side
    2,057.90x = 2,070,418.87
  5. Step 5: Solve for x
    x = 2,070,418.87/2,057.90
  6. Step 6: Final answer
    x = 1,006.08

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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.