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Finding the Fourth Proportional to 1,966.24, 2,947.92 and 991.81

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Solution

The fourth proportional to 1,966.24, 2,947.92 and 991.81 is: 1,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.24 : 2,947.92 = 991.81 : x
  2. Step 2: Convert to fraction form
    1,966.24/2,947.92 = 991.81/x
  3. Step 3: Cross multiply
    1,966.24x = 2,947.92 × 991.81
  4. Step 4: Simplify right side
    1,966.24x = 2,923,776.54
  5. Step 5: Solve for x
    x = 2,923,776.54/1,966.24
  6. Step 6: Final answer
    x = 1,486.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.