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Finding the Fourth Proportional to 2,025.55, 3,037.24 and 855.19

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Solution

The fourth proportional to 2,025.55, 3,037.24 and 855.19 is: 1,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.55 : 3,037.24 = 855.19 : x
  2. Step 2: Convert to fraction form
    2,025.55/3,037.24 = 855.19/x
  3. Step 3: Cross multiply
    2,025.55x = 3,037.24 × 855.19
  4. Step 4: Simplify right side
    2,025.55x = 2,597,417.28
  5. Step 5: Solve for x
    x = 2,597,417.28/2,025.55
  6. Step 6: Final answer
    x = 1,282.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.