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Finding the Fourth Proportional to 2,538.95, 3,805.38 and 1,441.80

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Solution

The fourth proportional to 2,538.95, 3,805.38 and 1,441.80 is: 2,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.95 : 3,805.38 = 1,441.80 : x
  2. Step 2: Convert to fraction form
    2,538.95/3,805.38 = 1,441.80/x
  3. Step 3: Cross multiply
    2,538.95x = 3,805.38 × 1,441.80
  4. Step 4: Simplify right side
    2,538.95x = 5,486,596.88
  5. Step 5: Solve for x
    x = 5,486,596.88/2,538.95
  6. Step 6: Final answer
    x = 2,160.98

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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.