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Finding the Fourth Proportional to 1,834.98, 2,533.56 and 1,198.01

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Solution

The fourth proportional to 1,834.98, 2,533.56 and 1,198.01 is: 1,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.98 : 2,533.56 = 1,198.01 : x
  2. Step 2: Convert to fraction form
    1,834.98/2,533.56 = 1,198.01/x
  3. Step 3: Cross multiply
    1,834.98x = 2,533.56 × 1,198.01
  4. Step 4: Simplify right side
    1,834.98x = 3,035,217.55
  5. Step 5: Solve for x
    x = 3,035,217.55/1,834.98
  6. Step 6: Final answer
    x = 1,654.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.