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Finding the Fourth Proportional to 1,903.17, 2,850.71 and 1,242.71

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Solution

The fourth proportional to 1,903.17, 2,850.71 and 1,242.71 is: 1,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.17 : 2,850.71 = 1,242.71 : x
  2. Step 2: Convert to fraction form
    1,903.17/2,850.71 = 1,242.71/x
  3. Step 3: Cross multiply
    1,903.17x = 2,850.71 × 1,242.71
  4. Step 4: Simplify right side
    1,903.17x = 3,542,605.82
  5. Step 5: Solve for x
    x = 3,542,605.82/1,903.17
  6. Step 6: Final answer
    x = 1,861.42

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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.