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Finding the Fourth Proportional to 2,141.17, 3,211.14 and 679.93

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Solution

The fourth proportional to 2,141.17, 3,211.14 and 679.93 is: 1,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.17 : 3,211.14 = 679.93 : x
  2. Step 2: Convert to fraction form
    2,141.17/3,211.14 = 679.93/x
  3. Step 3: Cross multiply
    2,141.17x = 3,211.14 × 679.93
  4. Step 4: Simplify right side
    2,141.17x = 2,183,344.94
  5. Step 5: Solve for x
    x = 2,183,344.94/2,141.17
  6. Step 6: Final answer
    x = 1,019.70

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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.