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Finding the Fourth Proportional to 2,460.33, 3,692.25 and 1,365.57

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Solution

The fourth proportional to 2,460.33, 3,692.25 and 1,365.57 is: 2,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.33 : 3,692.25 = 1,365.57 : x
  2. Step 2: Convert to fraction form
    2,460.33/3,692.25 = 1,365.57/x
  3. Step 3: Cross multiply
    2,460.33x = 3,692.25 × 1,365.57
  4. Step 4: Simplify right side
    2,460.33x = 5,042,025.83
  5. Step 5: Solve for x
    x = 5,042,025.83/2,460.33
  6. Step 6: Final answer
    x = 2,049.33

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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.