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Finding the Fourth Proportional to 3,111.69, 4,667.48 and 771.69

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Solution

The fourth proportional to 3,111.69, 4,667.48 and 771.69 is: 1,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.69 : 4,667.48 = 771.69 : x
  2. Step 2: Convert to fraction form
    3,111.69/4,667.48 = 771.69/x
  3. Step 3: Cross multiply
    3,111.69x = 4,667.48 × 771.69
  4. Step 4: Simplify right side
    3,111.69x = 3,601,847.64
  5. Step 5: Solve for x
    x = 3,601,847.64/3,111.69
  6. Step 6: Final answer
    x = 1,157.52

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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.