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Finding the Fourth Proportional to 1,900.49, 2,850.71 and 601.97

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Solution

The fourth proportional to 1,900.49, 2,850.71 and 601.97 is: 902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.49 : 2,850.71 = 601.97 : x
  2. Step 2: Convert to fraction form
    1,900.49/2,850.71 = 601.97/x
  3. Step 3: Cross multiply
    1,900.49x = 2,850.71 × 601.97
  4. Step 4: Simplify right side
    1,900.49x = 1,716,024.64
  5. Step 5: Solve for x
    x = 1,716,024.64/1,900.49
  6. Step 6: Final answer
    x = 902.94

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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.