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Finding the Fourth Proportional to 3,127.96, 4,690.86 and 1,279

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Solution

The fourth proportional to 3,127.96, 4,690.86 and 1,279 is: 1,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.96 : 4,690.86 = 1,279 : x
  2. Step 2: Convert to fraction form
    3,127.96/4,690.86 = 1,279/x
  3. Step 3: Cross multiply
    3,127.96x = 4,690.86 × 1,279
  4. Step 4: Simplify right side
    3,127.96x = 5,999,609.94
  5. Step 5: Solve for x
    x = 5,999,609.94/3,127.96
  6. Step 6: Final answer
    x = 1,918.06

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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.