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Finding the Fourth Proportional to 2,563.81, 3,537.95 and 1,444.97

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Solution

The fourth proportional to 2,563.81, 3,537.95 and 1,444.97 is: 1,993.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.81 : 3,537.95 = 1,444.97 : x
  2. Step 2: Convert to fraction form
    2,563.81/3,537.95 = 1,444.97/x
  3. Step 3: Cross multiply
    2,563.81x = 3,537.95 × 1,444.97
  4. Step 4: Simplify right side
    2,563.81x = 5,112,217.53
  5. Step 5: Solve for x
    x = 5,112,217.53/2,563.81
  6. Step 6: Final answer
    x = 1,993.99

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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.