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Finding the Fourth Proportional to 2,538.97, 3,804.80 and 1,441.01

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Solution

The fourth proportional to 2,538.97, 3,804.80 and 1,441.01 is: 2,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.97 : 3,804.80 = 1,441.01 : x
  2. Step 2: Convert to fraction form
    2,538.97/3,804.80 = 1,441.01/x
  3. Step 3: Cross multiply
    2,538.97x = 3,804.80 × 1,441.01
  4. Step 4: Simplify right side
    2,538.97x = 5,482,757.15
  5. Step 5: Solve for x
    x = 5,482,757.15/2,538.97
  6. Step 6: Final answer
    x = 2,159.44

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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.