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Finding the Fourth Proportional to 1,794.67, 2,692.02 and 562.27

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Solution

The fourth proportional to 1,794.67, 2,692.02 and 562.27 is: 843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.67 : 2,692.02 = 562.27 : x
  2. Step 2: Convert to fraction form
    1,794.67/2,692.02 = 562.27/x
  3. Step 3: Cross multiply
    1,794.67x = 2,692.02 × 562.27
  4. Step 4: Simplify right side
    1,794.67x = 1,513,642.09
  5. Step 5: Solve for x
    x = 1,513,642.09/1,794.67
  6. Step 6: Final answer
    x = 843.41

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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.