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Finding the Fourth Proportional to 2,355.21, 3,532.91 and 623.84

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Solution

The fourth proportional to 2,355.21, 3,532.91 and 623.84 is: 935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.21 : 3,532.91 = 623.84 : x
  2. Step 2: Convert to fraction form
    2,355.21/3,532.91 = 623.84/x
  3. Step 3: Cross multiply
    2,355.21x = 3,532.91 × 623.84
  4. Step 4: Simplify right side
    2,355.21x = 2,203,949.79
  5. Step 5: Solve for x
    x = 2,203,949.79/2,355.21
  6. Step 6: Final answer
    x = 935.78

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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.