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Finding the Fourth Proportional to 2,336.23, 3,504.93 and 692.78

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Solution

The fourth proportional to 2,336.23, 3,504.93 and 692.78 is: 1,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.23 : 3,504.93 = 692.78 : x
  2. Step 2: Convert to fraction form
    2,336.23/3,504.93 = 692.78/x
  3. Step 3: Cross multiply
    2,336.23x = 3,504.93 × 692.78
  4. Step 4: Simplify right side
    2,336.23x = 2,428,149.61
  5. Step 5: Solve for x
    x = 2,428,149.61/2,336.23
  6. Step 6: Final answer
    x = 1,039.34

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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.