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Finding the Fourth Proportional to 2,447.26, 3,670.69 and 692.23

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Solution

The fourth proportional to 2,447.26, 3,670.69 and 692.23 is: 1,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.26 : 3,670.69 = 692.23 : x
  2. Step 2: Convert to fraction form
    2,447.26/3,670.69 = 692.23/x
  3. Step 3: Cross multiply
    2,447.26x = 3,670.69 × 692.23
  4. Step 4: Simplify right side
    2,447.26x = 2,540,961.74
  5. Step 5: Solve for x
    x = 2,540,961.74/2,447.26
  6. Step 6: Final answer
    x = 1,038.29

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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.