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Finding the Fourth Proportional to 2,115.99, 3,174.39 and 945.54

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Solution

The fourth proportional to 2,115.99, 3,174.39 and 945.54 is: 1,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.99 : 3,174.39 = 945.54 : x
  2. Step 2: Convert to fraction form
    2,115.99/3,174.39 = 945.54/x
  3. Step 3: Cross multiply
    2,115.99x = 3,174.39 × 945.54
  4. Step 4: Simplify right side
    2,115.99x = 3,001,512.72
  5. Step 5: Solve for x
    x = 3,001,512.72/2,115.99
  6. Step 6: Final answer
    x = 1,418.49

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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.