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Finding the Fourth Proportional to 2,155.20, 3,235.20 and 1,180.80

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Solution

The fourth proportional to 2,155.20, 3,235.20 and 1,180.80 is: 1,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.20 : 3,235.20 = 1,180.80 : x
  2. Step 2: Convert to fraction form
    2,155.20/3,235.20 = 1,180.80/x
  3. Step 3: Cross multiply
    2,155.20x = 3,235.20 × 1,180.80
  4. Step 4: Simplify right side
    2,155.20x = 3,820,124.16
  5. Step 5: Solve for x
    x = 3,820,124.16/2,155.20
  6. Step 6: Final answer
    x = 1,772.51

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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.