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Finding the Fourth Proportional to 3,227.80, 4,847.16 and 1,985.64

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Solution

The fourth proportional to 3,227.80, 4,847.16 and 1,985.64 is: 2,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.80 : 4,847.16 = 1,985.64 : x
  2. Step 2: Convert to fraction form
    3,227.80/4,847.16 = 1,985.64/x
  3. Step 3: Cross multiply
    3,227.80x = 4,847.16 × 1,985.64
  4. Step 4: Simplify right side
    3,227.80x = 9,624,714.78
  5. Step 5: Solve for x
    x = 9,624,714.78/3,227.80
  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.