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Finding the Fourth Proportional to 2,754.21, 3,800.55 and 1,559.25

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Solution

The fourth proportional to 2,754.21, 3,800.55 and 1,559.25 is: 2,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.21 : 3,800.55 = 1,559.25 : x
  2. Step 2: Convert to fraction form
    2,754.21/3,800.55 = 1,559.25/x
  3. Step 3: Cross multiply
    2,754.21x = 3,800.55 × 1,559.25
  4. Step 4: Simplify right side
    2,754.21x = 5,926,007.59
  5. Step 5: Solve for x
    x = 5,926,007.59/2,754.21
  6. Step 6: Final answer
    x = 2,151.62

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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.