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Finding the Fourth Proportional to 2,682.42, 3,698.31 and 1,736.54

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Solution

The fourth proportional to 2,682.42, 3,698.31 and 1,736.54 is: 2,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.42 : 3,698.31 = 1,736.54 : x
  2. Step 2: Convert to fraction form
    2,682.42/3,698.31 = 1,736.54/x
  3. Step 3: Cross multiply
    2,682.42x = 3,698.31 × 1,736.54
  4. Step 4: Simplify right side
    2,682.42x = 6,422,263.25
  5. Step 5: Solve for x
    x = 6,422,263.25/2,682.42
  6. Step 6: Final answer
    x = 2,394.20

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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.