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Finding the Fourth Proportional to 2,966.39, 4,093.26 and 1,639.92

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Solution

The fourth proportional to 2,966.39, 4,093.26 and 1,639.92 is: 2,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.39 : 4,093.26 = 1,639.92 : x
  2. Step 2: Convert to fraction form
    2,966.39/4,093.26 = 1,639.92/x
  3. Step 3: Cross multiply
    2,966.39x = 4,093.26 × 1,639.92
  4. Step 4: Simplify right side
    2,966.39x = 6,712,609.74
  5. Step 5: Solve for x
    x = 6,712,609.74/2,966.39
  6. Step 6: Final answer
    x = 2,262.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.