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Finding the Fourth Proportional to 3,131.75, 4,697.71 and 940.48

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Solution

The fourth proportional to 3,131.75, 4,697.71 and 940.48 is: 1,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.75 : 4,697.71 = 940.48 : x
  2. Step 2: Convert to fraction form
    3,131.75/4,697.71 = 940.48/x
  3. Step 3: Cross multiply
    3,131.75x = 4,697.71 × 940.48
  4. Step 4: Simplify right side
    3,131.75x = 4,418,088.21
  5. Step 5: Solve for x
    x = 4,418,088.21/3,131.75
  6. Step 6: Final answer
    x = 1,410.74

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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.