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Finding the Fourth Proportional to 2,624.75, 3,622.24 and 1,630.57

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Solution

The fourth proportional to 2,624.75, 3,622.24 and 1,630.57 is: 2,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.75 : 3,622.24 = 1,630.57 : x
  2. Step 2: Convert to fraction form
    2,624.75/3,622.24 = 1,630.57/x
  3. Step 3: Cross multiply
    2,624.75x = 3,622.24 × 1,630.57
  4. Step 4: Simplify right side
    2,624.75x = 5,906,297.77
  5. Step 5: Solve for x
    x = 5,906,297.77/2,624.75
  6. Step 6: Final answer
    x = 2,250.24

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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.