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Finding the Fourth Proportional to 2,843.61, 4,266.15 and 895.83

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Solution

The fourth proportional to 2,843.61, 4,266.15 and 895.83 is: 1,343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.61 : 4,266.15 = 895.83 : x
  2. Step 2: Convert to fraction form
    2,843.61/4,266.15 = 895.83/x
  3. Step 3: Cross multiply
    2,843.61x = 4,266.15 × 895.83
  4. Step 4: Simplify right side
    2,843.61x = 3,821,745.15
  5. Step 5: Solve for x
    x = 3,821,745.15/2,843.61
  6. Step 6: Final answer
    x = 1,343.98

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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.