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Finding the Fourth Proportional to 2,749.56, 3,794.15 and 1,630.32

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Solution

The fourth proportional to 2,749.56, 3,794.15 and 1,630.32 is: 2,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.56 : 3,794.15 = 1,630.32 : x
  2. Step 2: Convert to fraction form
    2,749.56/3,794.15 = 1,630.32/x
  3. Step 3: Cross multiply
    2,749.56x = 3,794.15 × 1,630.32
  4. Step 4: Simplify right side
    2,749.56x = 6,185,670.48
  5. Step 5: Solve for x
    x = 6,185,670.48/2,749.56
  6. Step 6: Final answer
    x = 2,249.69

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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.