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Finding the Fourth Proportional to 2,120.80, 3,180.62 and 887.49

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Solution

The fourth proportional to 2,120.80, 3,180.62 and 887.49 is: 1,330.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.80 : 3,180.62 = 887.49 : x
  2. Step 2: Convert to fraction form
    2,120.80/3,180.62 = 887.49/x
  3. Step 3: Cross multiply
    2,120.80x = 3,180.62 × 887.49
  4. Step 4: Simplify right side
    2,120.80x = 2,822,768.44
  5. Step 5: Solve for x
    x = 2,822,768.44/2,120.80
  6. Step 6: Final answer
    x = 1,330.99

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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.