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Finding the Fourth Proportional to 2,850.58, 4,266.96 and 2,159.83

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Solution

The fourth proportional to 2,850.58, 4,266.96 and 2,159.83 is: 3,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.58 : 4,266.96 = 2,159.83 : x
  2. Step 2: Convert to fraction form
    2,850.58/4,266.96 = 2,159.83/x
  3. Step 3: Cross multiply
    2,850.58x = 4,266.96 × 2,159.83
  4. Step 4: Simplify right side
    2,850.58x = 9,215,908.22
  5. Step 5: Solve for x
    x = 9,215,908.22/2,850.58
  6. Step 6: Final answer
    x = 3,232.99

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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.