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Finding the Fourth Proportional to 2,843.32, 4,266.10 and 895.80

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Solution

The fourth proportional to 2,843.32, 4,266.10 and 895.80 is: 1,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.32 : 4,266.10 = 895.80 : x
  2. Step 2: Convert to fraction form
    2,843.32/4,266.10 = 895.80/x
  3. Step 3: Cross multiply
    2,843.32x = 4,266.10 × 895.80
  4. Step 4: Simplify right side
    2,843.32x = 3,821,572.38
  5. Step 5: Solve for x
    x = 3,821,572.38/2,843.32
  6. Step 6: Final answer
    x = 1,344.05

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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.