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Finding the Fourth Proportional to 1,966.36, 2,947.69 and 666.92

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Solution

The fourth proportional to 1,966.36, 2,947.69 and 666.92 is: 999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.36 : 2,947.69 = 666.92 : x
  2. Step 2: Convert to fraction form
    1,966.36/2,947.69 = 666.92/x
  3. Step 3: Cross multiply
    1,966.36x = 2,947.69 × 666.92
  4. Step 4: Simplify right side
    1,966.36x = 1,965,873.41
  5. Step 5: Solve for x
    x = 1,965,873.41/1,966.36
  6. Step 6: Final answer
    x = 999.75

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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.