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Finding the Fourth Proportional to 2,863.89, 4,293.08 and 1,820.65

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Solution

The fourth proportional to 2,863.89, 4,293.08 and 1,820.65 is: 2,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.89 : 4,293.08 = 1,820.65 : x
  2. Step 2: Convert to fraction form
    2,863.89/4,293.08 = 1,820.65/x
  3. Step 3: Cross multiply
    2,863.89x = 4,293.08 × 1,820.65
  4. Step 4: Simplify right side
    2,863.89x = 7,816,196.10
  5. Step 5: Solve for x
    x = 7,816,196.10/2,863.89
  6. Step 6: Final answer
    x = 2,729.22

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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.