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Finding the Fourth Proportional to 2,682.70, 3,701.94 and 1,563.46

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Solution

The fourth proportional to 2,682.70, 3,701.94 and 1,563.46 is: 2,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.70 : 3,701.94 = 1,563.46 : x
  2. Step 2: Convert to fraction form
    2,682.70/3,701.94 = 1,563.46/x
  3. Step 3: Cross multiply
    2,682.70x = 3,701.94 × 1,563.46
  4. Step 4: Simplify right side
    2,682.70x = 5,787,835.11
  5. Step 5: Solve for x
    x = 5,787,835.11/2,682.70
  6. Step 6: Final answer
    x = 2,157.47

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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.