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Finding the Fourth Proportional to 1,996.77, 2,996.36 and 826.80

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Solution

The fourth proportional to 1,996.77, 2,996.36 and 826.80 is: 1,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.77 : 2,996.36 = 826.80 : x
  2. Step 2: Convert to fraction form
    1,996.77/2,996.36 = 826.80/x
  3. Step 3: Cross multiply
    1,996.77x = 2,996.36 × 826.80
  4. Step 4: Simplify right side
    1,996.77x = 2,477,378.18
  5. Step 5: Solve for x
    x = 2,477,378.18/1,996.77
  6. Step 6: Final answer
    x = 1,240.69

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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.