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Finding the Fourth Proportional to 1,748.33, 2,622.50 and 1,198.85

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Solution

The fourth proportional to 1,748.33, 2,622.50 and 1,198.85 is: 1,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.33 : 2,622.50 = 1,198.85 : x
  2. Step 2: Convert to fraction form
    1,748.33/2,622.50 = 1,198.85/x
  3. Step 3: Cross multiply
    1,748.33x = 2,622.50 × 1,198.85
  4. Step 4: Simplify right side
    1,748.33x = 3,143,965.02
  5. Step 5: Solve for x
    x = 3,143,965.02/1,748.33
  6. Step 6: Final answer
    x = 1,798.27

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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.