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Finding the Fourth Proportional to 2,966.03, 4,093.14 and 1,639.79

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Solution

The fourth proportional to 2,966.03, 4,093.14 and 1,639.79 is: 2,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.03 : 4,093.14 = 1,639.79 : x
  2. Step 2: Convert to fraction form
    2,966.03/4,093.14 = 1,639.79/x
  3. Step 3: Cross multiply
    2,966.03x = 4,093.14 × 1,639.79
  4. Step 4: Simplify right side
    2,966.03x = 6,711,869.57
  5. Step 5: Solve for x
    x = 6,711,869.57/2,966.03
  6. Step 6: Final answer
    x = 2,262.92

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Why These Related Problems?

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