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Finding the Fourth Proportional to 2,745.56, 3,763.44 and 2,708.64

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Solution

The fourth proportional to 2,745.56, 3,763.44 and 2,708.64 is: 3,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.56 : 3,763.44 = 2,708.64 : x
  2. Step 2: Convert to fraction form
    2,745.56/3,763.44 = 2,708.64/x
  3. Step 3: Cross multiply
    2,745.56x = 3,763.44 × 2,708.64
  4. Step 4: Simplify right side
    2,745.56x = 10,193,804.12
  5. Step 5: Solve for x
    x = 10,193,804.12/2,745.56
  6. Step 6: Final answer
    x = 3,712.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.