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Finding the Fourth Proportional to 2,523.03, 3,784.37 and 768.08

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Solution

The fourth proportional to 2,523.03, 3,784.37 and 768.08 is: 1,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.03 : 3,784.37 = 768.08 : x
  2. Step 2: Convert to fraction form
    2,523.03/3,784.37 = 768.08/x
  3. Step 3: Cross multiply
    2,523.03x = 3,784.37 × 768.08
  4. Step 4: Simplify right side
    2,523.03x = 2,906,676.15
  5. Step 5: Solve for x
    x = 2,906,676.15/2,523.03
  6. Step 6: Final answer
    x = 1,152.06

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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.