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Finding the Fourth Proportional to 2,008, 2,771.52 and 1,180.48

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Solution

The fourth proportional to 2,008, 2,771.52 and 1,180.48 is: 1,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008 : 2,771.52 = 1,180.48 : x
  2. Step 2: Convert to fraction form
    2,008/2,771.52 = 1,180.48/x
  3. Step 3: Cross multiply
    2,008x = 2,771.52 × 1,180.48
  4. Step 4: Simplify right side
    2,008x = 3,271,723.93
  5. Step 5: Solve for x
    x = 3,271,723.93/2,008
  6. Step 6: Final answer
    x = 1,629.34

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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.