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Finding the Fourth Proportional to 3,181.02, 4,770.77 and 959.39

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Solution

The fourth proportional to 3,181.02, 4,770.77 and 959.39 is: 1,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.02 : 4,770.77 = 959.39 : x
  2. Step 2: Convert to fraction form
    3,181.02/4,770.77 = 959.39/x
  3. Step 3: Cross multiply
    3,181.02x = 4,770.77 × 959.39
  4. Step 4: Simplify right side
    3,181.02x = 4,577,053.20
  5. Step 5: Solve for x
    x = 4,577,053.20/3,181.02
  6. Step 6: Final answer
    x = 1,438.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.