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Finding the Fourth Proportional to 2,523.39, 3,785.29 and 792.02

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Solution

The fourth proportional to 2,523.39, 3,785.29 and 792.02 is: 1,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.39 : 3,785.29 = 792.02 : x
  2. Step 2: Convert to fraction form
    2,523.39/3,785.29 = 792.02/x
  3. Step 3: Cross multiply
    2,523.39x = 3,785.29 × 792.02
  4. Step 4: Simplify right side
    2,523.39x = 2,998,025.39
  5. Step 5: Solve for x
    x = 2,998,025.39/2,523.39
  6. Step 6: Final answer
    x = 1,188.09

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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.