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Finding the Fourth Proportional to 2,766.65, 4,146.81 and 1,121.13

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Solution

The fourth proportional to 2,766.65, 4,146.81 and 1,121.13 is: 1,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.65 : 4,146.81 = 1,121.13 : x
  2. Step 2: Convert to fraction form
    2,766.65/4,146.81 = 1,121.13/x
  3. Step 3: Cross multiply
    2,766.65x = 4,146.81 × 1,121.13
  4. Step 4: Simplify right side
    2,766.65x = 4,649,113.10
  5. Step 5: Solve for x
    x = 4,649,113.10/2,766.65
  6. Step 6: Final answer
    x = 1,680.42

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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.