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Finding the Fourth Proportional to 3,181.99, 4,772.08 and 960.74

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Solution

The fourth proportional to 3,181.99, 4,772.08 and 960.74 is: 1,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.99 : 4,772.08 = 960.74 : x
  2. Step 2: Convert to fraction form
    3,181.99/4,772.08 = 960.74/x
  3. Step 3: Cross multiply
    3,181.99x = 4,772.08 × 960.74
  4. Step 4: Simplify right side
    3,181.99x = 4,584,728.14
  5. Step 5: Solve for x
    x = 4,584,728.14/3,181.99
  6. Step 6: Final answer
    x = 1,440.84

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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.