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Finding the Fourth Proportional to 3,310.65, 4,967.45 and 1,230.17

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Solution

The fourth proportional to 3,310.65, 4,967.45 and 1,230.17 is: 1,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.65 : 4,967.45 = 1,230.17 : x
  2. Step 2: Convert to fraction form
    3,310.65/4,967.45 = 1,230.17/x
  3. Step 3: Cross multiply
    3,310.65x = 4,967.45 × 1,230.17
  4. Step 4: Simplify right side
    3,310.65x = 6,110,776.98
  5. Step 5: Solve for x
    x = 6,110,776.98/3,310.65
  6. Step 6: Final answer
    x = 1,845.79

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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.