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Finding the Fourth Proportional to 2,807.73, 4,213.89 and 1,986.80

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Solution

The fourth proportional to 2,807.73, 4,213.89 and 1,986.80 is: 2,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.73 : 4,213.89 = 1,986.80 : x
  2. Step 2: Convert to fraction form
    2,807.73/4,213.89 = 1,986.80/x
  3. Step 3: Cross multiply
    2,807.73x = 4,213.89 × 1,986.80
  4. Step 4: Simplify right side
    2,807.73x = 8,372,135.58
  5. Step 5: Solve for x
    x = 8,372,135.58/2,807.73
  6. Step 6: Final answer
    x = 2,981.82

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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.