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Finding the Fourth Proportional to 2,686.70, 4,028.76 and 1,127.42

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Solution

The fourth proportional to 2,686.70, 4,028.76 and 1,127.42 is: 1,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.70 : 4,028.76 = 1,127.42 : x
  2. Step 2: Convert to fraction form
    2,686.70/4,028.76 = 1,127.42/x
  3. Step 3: Cross multiply
    2,686.70x = 4,028.76 × 1,127.42
  4. Step 4: Simplify right side
    2,686.70x = 4,542,104.60
  5. Step 5: Solve for x
    x = 4,542,104.60/2,686.70
  6. Step 6: Final answer
    x = 1,690.59

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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.