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Finding the Fourth Proportional to 3,025.36, 4,174.86 and 1,766.44

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Solution

The fourth proportional to 3,025.36, 4,174.86 and 1,766.44 is: 2,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.36 : 4,174.86 = 1,766.44 : x
  2. Step 2: Convert to fraction form
    3,025.36/4,174.86 = 1,766.44/x
  3. Step 3: Cross multiply
    3,025.36x = 4,174.86 × 1,766.44
  4. Step 4: Simplify right side
    3,025.36x = 7,374,639.70
  5. Step 5: Solve for x
    x = 7,374,639.70/3,025.36
  6. Step 6: Final answer
    x = 2,437.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.