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Finding the Fourth Proportional to 3,131.16, 4,697.22 and 939.64

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Solution

The fourth proportional to 3,131.16, 4,697.22 and 939.64 is: 1,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.16 : 4,697.22 = 939.64 : x
  2. Step 2: Convert to fraction form
    3,131.16/4,697.22 = 939.64/x
  3. Step 3: Cross multiply
    3,131.16x = 4,697.22 × 939.64
  4. Step 4: Simplify right side
    3,131.16x = 4,413,695.80
  5. Step 5: Solve for x
    x = 4,413,695.80/3,131.16
  6. Step 6: Final answer
    x = 1,409.60

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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.