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Finding the Fourth Proportional to 2,895.63, 4,343.44 and 843.63

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Solution

The fourth proportional to 2,895.63, 4,343.44 and 843.63 is: 1,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.63 : 4,343.44 = 843.63 : x
  2. Step 2: Convert to fraction form
    2,895.63/4,343.44 = 843.63/x
  3. Step 3: Cross multiply
    2,895.63x = 4,343.44 × 843.63
  4. Step 4: Simplify right side
    2,895.63x = 3,664,232.46
  5. Step 5: Solve for x
    x = 3,664,232.46/2,895.63
  6. Step 6: Final answer
    x = 1,265.44

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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.