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Finding the Fourth Proportional to 3,166.94, 4,751.08 and 1,219.14

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Solution

The fourth proportional to 3,166.94, 4,751.08 and 1,219.14 is: 1,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.94 : 4,751.08 = 1,219.14 : x
  2. Step 2: Convert to fraction form
    3,166.94/4,751.08 = 1,219.14/x
  3. Step 3: Cross multiply
    3,166.94x = 4,751.08 × 1,219.14
  4. Step 4: Simplify right side
    3,166.94x = 5,792,231.67
  5. Step 5: Solve for x
    x = 5,792,231.67/3,166.94
  6. Step 6: Final answer
    x = 1,828.97

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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.