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Finding the Fourth Proportional to 2,986.80, 4,120.92 and 2,041.80

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Solution

The fourth proportional to 2,986.80, 4,120.92 and 2,041.80 is: 2,817.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.80 : 4,120.92 = 2,041.80 : x
  2. Step 2: Convert to fraction form
    2,986.80/4,120.92 = 2,041.80/x
  3. Step 3: Cross multiply
    2,986.80x = 4,120.92 × 2,041.80
  4. Step 4: Simplify right side
    2,986.80x = 8,414,094.46
  5. Step 5: Solve for x
    x = 8,414,094.46/2,986.80
  6. Step 6: Final answer
    x = 2,817.09

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1.5x scale

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.