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Finding the Fourth Proportional to 1,834.49, 2,750.82 and 601.26

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Solution

The fourth proportional to 1,834.49, 2,750.82 and 601.26 is: 901.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.49 : 2,750.82 = 601.26 : x
  2. Step 2: Convert to fraction form
    1,834.49/2,750.82 = 601.26/x
  3. Step 3: Cross multiply
    1,834.49x = 2,750.82 × 601.26
  4. Step 4: Simplify right side
    1,834.49x = 1,653,958.03
  5. Step 5: Solve for x
    x = 1,653,958.03/1,834.49
  6. Step 6: Final answer
    x = 901.59

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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.