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Finding the Fourth Proportional to 3,180.43, 4,770.60 and 1,233.01

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Solution

The fourth proportional to 3,180.43, 4,770.60 and 1,233.01 is: 1,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.43 : 4,770.60 = 1,233.01 : x
  2. Step 2: Convert to fraction form
    3,180.43/4,770.60 = 1,233.01/x
  3. Step 3: Cross multiply
    3,180.43x = 4,770.60 × 1,233.01
  4. Step 4: Simplify right side
    3,180.43x = 5,882,197.51
  5. Step 5: Solve for x
    x = 5,882,197.51/3,180.43
  6. Step 6: Final answer
    x = 1,849.50

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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.