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Finding the Fourth Proportional to 2,682.01, 3,701.19 and 1,563.64

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Solution

The fourth proportional to 2,682.01, 3,701.19 and 1,563.64 is: 2,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.01 : 3,701.19 = 1,563.64 : x
  2. Step 2: Convert to fraction form
    2,682.01/3,701.19 = 1,563.64/x
  3. Step 3: Cross multiply
    2,682.01x = 3,701.19 × 1,563.64
  4. Step 4: Simplify right side
    2,682.01x = 5,787,328.73
  5. Step 5: Solve for x
    x = 5,787,328.73/2,682.01
  6. Step 6: Final answer
    x = 2,157.83

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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.