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Finding the Fourth Proportional to 2,628.53, 3,629.06 and 1,635.16

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Solution

The fourth proportional to 2,628.53, 3,629.06 and 1,635.16 is: 2,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.53 : 3,629.06 = 1,635.16 : x
  2. Step 2: Convert to fraction form
    2,628.53/3,629.06 = 1,635.16/x
  3. Step 3: Cross multiply
    2,628.53x = 3,629.06 × 1,635.16
  4. Step 4: Simplify right side
    2,628.53x = 5,934,093.75
  5. Step 5: Solve for x
    x = 5,934,093.75/2,628.53
  6. Step 6: Final answer
    x = 2,257.57

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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.