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Finding the Fourth Proportional to 2,336.27, 3,504.33 and 692.84

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Solution

The fourth proportional to 2,336.27, 3,504.33 and 692.84 is: 1,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.27 : 3,504.33 = 692.84 : x
  2. Step 2: Convert to fraction form
    2,336.27/3,504.33 = 692.84/x
  3. Step 3: Cross multiply
    2,336.27x = 3,504.33 × 692.84
  4. Step 4: Simplify right side
    2,336.27x = 2,427,948.76
  5. Step 5: Solve for x
    x = 2,427,948.76/2,336.27
  6. Step 6: Final answer
    x = 1,039.24

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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.