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Finding the Fourth Proportional to 2,749.77, 3,794.07 and 1,630.14

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Solution

The fourth proportional to 2,749.77, 3,794.07 and 1,630.14 is: 2,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.77 : 3,794.07 = 1,630.14 : x
  2. Step 2: Convert to fraction form
    2,749.77/3,794.07 = 1,630.14/x
  3. Step 3: Cross multiply
    2,749.77x = 3,794.07 × 1,630.14
  4. Step 4: Simplify right side
    2,749.77x = 6,184,865.27
  5. Step 5: Solve for x
    x = 6,184,865.27/2,749.77
  6. Step 6: Final answer
    x = 2,249.23

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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.