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Finding the Fourth Proportional to 3,183.21, 4,775.27 and 992.16

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Solution

The fourth proportional to 3,183.21, 4,775.27 and 992.16 is: 1,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.21 : 4,775.27 = 992.16 : x
  2. Step 2: Convert to fraction form
    3,183.21/4,775.27 = 992.16/x
  3. Step 3: Cross multiply
    3,183.21x = 4,775.27 × 992.16
  4. Step 4: Simplify right side
    3,183.21x = 4,737,831.88
  5. Step 5: Solve for x
    x = 4,737,831.88/3,183.21
  6. Step 6: Final answer
    x = 1,488.38

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Double scale
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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.