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Finding the Fourth Proportional to 3,131.80, 4,697.10 and 940.60

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Solution

The fourth proportional to 3,131.80, 4,697.10 and 940.60 is: 1,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.80 : 4,697.10 = 940.60 : x
  2. Step 2: Convert to fraction form
    3,131.80/4,697.10 = 940.60/x
  3. Step 3: Cross multiply
    3,131.80x = 4,697.10 × 940.60
  4. Step 4: Simplify right side
    3,131.80x = 4,418,092.26
  5. Step 5: Solve for x
    x = 4,418,092.26/3,131.80
  6. Step 6: Final answer
    x = 1,410.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.