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Finding the Fourth Proportional to 2,563.87, 3,538.14 and 1,444.81

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Solution

The fourth proportional to 2,563.87, 3,538.14 and 1,444.81 is: 1,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.87 : 3,538.14 = 1,444.81 : x
  2. Step 2: Convert to fraction form
    2,563.87/3,538.14 = 1,444.81/x
  3. Step 3: Cross multiply
    2,563.87x = 3,538.14 × 1,444.81
  4. Step 4: Simplify right side
    2,563.87x = 5,111,922.36
  5. Step 5: Solve for x
    x = 5,111,922.36/2,563.87
  6. Step 6: Final answer
    x = 1,993.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.