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Finding the Fourth Proportional to 2,408.07, 3,612.23 and 764.75

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Solution

The fourth proportional to 2,408.07, 3,612.23 and 764.75 is: 1,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.07 : 3,612.23 = 764.75 : x
  2. Step 2: Convert to fraction form
    2,408.07/3,612.23 = 764.75/x
  3. Step 3: Cross multiply
    2,408.07x = 3,612.23 × 764.75
  4. Step 4: Simplify right side
    2,408.07x = 2,762,434.83
  5. Step 5: Solve for x
    x = 2,762,434.83/2,408.07
  6. Step 6: Final answer
    x = 1,147.16

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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.