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Finding the Fourth Proportional to 2,843.11, 4,264.85 and 895.39

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Solution

The fourth proportional to 2,843.11, 4,264.85 and 895.39 is: 1,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.11 : 4,264.85 = 895.39 : x
  2. Step 2: Convert to fraction form
    2,843.11/4,264.85 = 895.39/x
  3. Step 3: Cross multiply
    2,843.11x = 4,264.85 × 895.39
  4. Step 4: Simplify right side
    2,843.11x = 3,818,704.04
  5. Step 5: Solve for x
    x = 3,818,704.04/2,843.11
  6. Step 6: Final answer
    x = 1,343.14

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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.