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Finding the Fourth Proportional to 3,131.18, 4,697.31 and 940.04

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Solution

The fourth proportional to 3,131.18, 4,697.31 and 940.04 is: 1,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.18 : 4,697.31 = 940.04 : x
  2. Step 2: Convert to fraction form
    3,131.18/4,697.31 = 940.04/x
  3. Step 3: Cross multiply
    3,131.18x = 4,697.31 × 940.04
  4. Step 4: Simplify right side
    3,131.18x = 4,415,659.29
  5. Step 5: Solve for x
    x = 4,415,659.29/3,131.18
  6. Step 6: Final answer
    x = 1,410.22

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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.