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Finding the Fourth Proportional to 3,203.12, 4,797.12 and 1,560.80

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Solution

The fourth proportional to 3,203.12, 4,797.12 and 1,560.80 is: 2,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.12 : 4,797.12 = 1,560.80 : x
  2. Step 2: Convert to fraction form
    3,203.12/4,797.12 = 1,560.80/x
  3. Step 3: Cross multiply
    3,203.12x = 4,797.12 × 1,560.80
  4. Step 4: Simplify right side
    3,203.12x = 7,487,344.90
  5. Step 5: Solve for x
    x = 7,487,344.90/3,203.12
  6. Step 6: Final answer
    x = 2,337.52

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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.