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Finding the Fourth Proportional to 2,353.26, 3,529.59 and 622.02

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Solution

The fourth proportional to 2,353.26, 3,529.59 and 622.02 is: 932.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.26 : 3,529.59 = 622.02 : x
  2. Step 2: Convert to fraction form
    2,353.26/3,529.59 = 622.02/x
  3. Step 3: Cross multiply
    2,353.26x = 3,529.59 × 622.02
  4. Step 4: Simplify right side
    2,353.26x = 2,195,475.57
  5. Step 5: Solve for x
    x = 2,195,475.57/2,353.26
  6. Step 6: Final answer
    x = 932.95

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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.