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Finding the Fourth Proportional to 3,310.12, 4,967.16 and 1,230.31

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Solution

The fourth proportional to 3,310.12, 4,967.16 and 1,230.31 is: 1,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.12 : 4,967.16 = 1,230.31 : x
  2. Step 2: Convert to fraction form
    3,310.12/4,967.16 = 1,230.31/x
  3. Step 3: Cross multiply
    3,310.12x = 4,967.16 × 1,230.31
  4. Step 4: Simplify right side
    3,310.12x = 6,111,146.62
  5. Step 5: Solve for x
    x = 6,111,146.62/3,310.12
  6. Step 6: Final answer
    x = 1,846.20

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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.