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Finding the Fourth Proportional to 3,180.09, 4,770.14 and 1,447.50

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Solution

The fourth proportional to 3,180.09, 4,770.14 and 1,447.50 is: 2,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.09 : 4,770.14 = 1,447.50 : x
  2. Step 2: Convert to fraction form
    3,180.09/4,770.14 = 1,447.50/x
  3. Step 3: Cross multiply
    3,180.09x = 4,770.14 × 1,447.50
  4. Step 4: Simplify right side
    3,180.09x = 6,904,770.41
  5. Step 5: Solve for x
    x = 6,904,770.41/3,180.09
  6. Step 6: Final answer
    x = 2,171.25

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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.