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Finding the Fourth Proportional to 2,499.56, 3,745.24 and 1,765.55

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Solution

The fourth proportional to 2,499.56, 3,745.24 and 1,765.55 is: 2,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.56 : 3,745.24 = 1,765.55 : x
  2. Step 2: Convert to fraction form
    2,499.56/3,745.24 = 1,765.55/x
  3. Step 3: Cross multiply
    2,499.56x = 3,745.24 × 1,765.55
  4. Step 4: Simplify right side
    2,499.56x = 6,612,392.36
  5. Step 5: Solve for x
    x = 6,612,392.36/2,499.56
  6. Step 6: Final answer
    x = 2,645.42

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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.