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Finding the Fourth Proportional to 3,024.53, 4,532.56 and 1,634.87

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Solution

The fourth proportional to 3,024.53, 4,532.56 and 1,634.87 is: 2,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.53 : 4,532.56 = 1,634.87 : x
  2. Step 2: Convert to fraction form
    3,024.53/4,532.56 = 1,634.87/x
  3. Step 3: Cross multiply
    3,024.53x = 4,532.56 × 1,634.87
  4. Step 4: Simplify right side
    3,024.53x = 7,410,146.37
  5. Step 5: Solve for x
    x = 7,410,146.37/3,024.53
  6. Step 6: Final answer
    x = 2,450.02

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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.