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Finding the Fourth Proportional to 3,131.36, 4,697.06 and 791.36

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Solution

The fourth proportional to 3,131.36, 4,697.06 and 791.36 is: 1,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.36 : 4,697.06 = 791.36 : x
  2. Step 2: Convert to fraction form
    3,131.36/4,697.06 = 791.36/x
  3. Step 3: Cross multiply
    3,131.36x = 4,697.06 × 791.36
  4. Step 4: Simplify right side
    3,131.36x = 3,717,065.40
  5. Step 5: Solve for x
    x = 3,717,065.40/3,131.36
  6. Step 6: Final answer
    x = 1,187.05

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1.5x scale

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.