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Finding the Fourth Proportional to 3,131.56, 4,697.19 and 940.31

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Solution

The fourth proportional to 3,131.56, 4,697.19 and 940.31 is: 1,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.56 : 4,697.19 = 940.31 : x
  2. Step 2: Convert to fraction form
    3,131.56/4,697.19 = 940.31/x
  3. Step 3: Cross multiply
    3,131.56x = 4,697.19 × 940.31
  4. Step 4: Simplify right side
    3,131.56x = 4,416,808.86
  5. Step 5: Solve for x
    x = 4,416,808.86/3,131.56
  6. Step 6: Final answer
    x = 1,410.42

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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.