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Finding the Fourth Proportional to 2,661.12, 3,992.16 and 1,122.24

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Solution

The fourth proportional to 2,661.12, 3,992.16 and 1,122.24 is: 1,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.12 : 3,992.16 = 1,122.24 : x
  2. Step 2: Convert to fraction form
    2,661.12/3,992.16 = 1,122.24/x
  3. Step 3: Cross multiply
    2,661.12x = 3,992.16 × 1,122.24
  4. Step 4: Simplify right side
    2,661.12x = 4,480,161.64
  5. Step 5: Solve for x
    x = 4,480,161.64/2,661.12
  6. Step 6: Final answer
    x = 1,683.56

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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.