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Finding the Fourth Proportional to 2,639.74, 3,958.14 and 1,663.76

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Solution

The fourth proportional to 2,639.74, 3,958.14 and 1,663.76 is: 2,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.74 : 3,958.14 = 1,663.76 : x
  2. Step 2: Convert to fraction form
    2,639.74/3,958.14 = 1,663.76/x
  3. Step 3: Cross multiply
    2,639.74x = 3,958.14 × 1,663.76
  4. Step 4: Simplify right side
    2,639.74x = 6,585,395.01
  5. Step 5: Solve for x
    x = 6,585,395.01/2,639.74
  6. Step 6: Final answer
    x = 2,494.71

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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.