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Finding the Fourth Proportional to 3,204.80, 4,807.20 and 2,772.80

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Solution

The fourth proportional to 3,204.80, 4,807.20 and 2,772.80 is: 4,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.80 : 4,807.20 = 2,772.80 : x
  2. Step 2: Convert to fraction form
    3,204.80/4,807.20 = 2,772.80/x
  3. Step 3: Cross multiply
    3,204.80x = 4,807.20 × 2,772.80
  4. Step 4: Simplify right side
    3,204.80x = 13,329,404.16
  5. Step 5: Solve for x
    x = 13,329,404.16/3,204.80
  6. Step 6: Final answer
    x = 4,159.20

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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.