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Finding the Fourth Proportional to 3,398.99, 4,692.70 and 2,266.25

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Solution

The fourth proportional to 3,398.99, 4,692.70 and 2,266.25 is: 3,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.99 : 4,692.70 = 2,266.25 : x
  2. Step 2: Convert to fraction form
    3,398.99/4,692.70 = 2,266.25/x
  3. Step 3: Cross multiply
    3,398.99x = 4,692.70 × 2,266.25
  4. Step 4: Simplify right side
    3,398.99x = 10,634,824.09
  5. Step 5: Solve for x
    x = 10,634,824.09/3,398.99
  6. Step 6: Final answer
    x = 3,128.82

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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.