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Finding the Fourth Proportional to 2,086.55, 3,127.43 and 699.56

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Solution

The fourth proportional to 2,086.55, 3,127.43 and 699.56 is: 1,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.55 : 3,127.43 = 699.56 : x
  2. Step 2: Convert to fraction form
    2,086.55/3,127.43 = 699.56/x
  3. Step 3: Cross multiply
    2,086.55x = 3,127.43 × 699.56
  4. Step 4: Simplify right side
    2,086.55x = 2,187,805.80
  5. Step 5: Solve for x
    x = 2,187,805.80/2,086.55
  6. Step 6: Final answer
    x = 1,048.53

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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.