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Finding the Fourth Proportional to 2,660.83, 3,991.08 and 811.79

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Solution

The fourth proportional to 2,660.83, 3,991.08 and 811.79 is: 1,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.83 : 3,991.08 = 811.79 : x
  2. Step 2: Convert to fraction form
    2,660.83/3,991.08 = 811.79/x
  3. Step 3: Cross multiply
    2,660.83x = 3,991.08 × 811.79
  4. Step 4: Simplify right side
    2,660.83x = 3,239,916.89
  5. Step 5: Solve for x
    x = 3,239,916.89/2,660.83
  6. Step 6: Final answer
    x = 1,217.64

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1.5x scale

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.