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Finding the Fourth Proportional to 3,027.53, 4,532.83 and 1,635.87

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Solution

The fourth proportional to 3,027.53, 4,532.83 and 1,635.87 is: 2,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.53 : 4,532.83 = 1,635.87 : x
  2. Step 2: Convert to fraction form
    3,027.53/4,532.83 = 1,635.87/x
  3. Step 3: Cross multiply
    3,027.53x = 4,532.83 × 1,635.87
  4. Step 4: Simplify right side
    3,027.53x = 7,415,133.52
  5. Step 5: Solve for x
    x = 7,415,133.52/3,027.53
  6. Step 6: Final answer
    x = 2,449.24

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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.