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Finding the Fourth Proportional to 2,455.21, 3,682.82 and 994.36

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Solution

The fourth proportional to 2,455.21, 3,682.82 and 994.36 is: 1,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.21 : 3,682.82 = 994.36 : x
  2. Step 2: Convert to fraction form
    2,455.21/3,682.82 = 994.36/x
  3. Step 3: Cross multiply
    2,455.21x = 3,682.82 × 994.36
  4. Step 4: Simplify right side
    2,455.21x = 3,662,043.49
  5. Step 5: Solve for x
    x = 3,662,043.49/2,455.21
  6. Step 6: Final answer
    x = 1,491.54

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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.