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Finding the Fourth Proportional to 2,183.52, 3,009 and 1,396.20

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Solution

The fourth proportional to 2,183.52, 3,009 and 1,396.20 is: 1,924.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.52 : 3,009 = 1,396.20 : x
  2. Step 2: Convert to fraction form
    2,183.52/3,009 = 1,396.20/x
  3. Step 3: Cross multiply
    2,183.52x = 3,009 × 1,396.20
  4. Step 4: Simplify right side
    2,183.52x = 4,201,165.80
  5. Step 5: Solve for x
    x = 4,201,165.80/2,183.52
  6. Step 6: Final answer
    x = 1,924.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.