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Finding the Fourth Proportional to 2,463.38, 3,692.99 and 1,003.58

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Solution

The fourth proportional to 2,463.38, 3,692.99 and 1,003.58 is: 1,504.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.38 : 3,692.99 = 1,003.58 : x
  2. Step 2: Convert to fraction form
    2,463.38/3,692.99 = 1,003.58/x
  3. Step 3: Cross multiply
    2,463.38x = 3,692.99 × 1,003.58
  4. Step 4: Simplify right side
    2,463.38x = 3,706,194.95
  5. Step 5: Solve for x
    x = 3,706,194.95/2,463.38
  6. Step 6: Final answer
    x = 1,504.52

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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.