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Finding the Fourth Proportional to 2,940.74, 4,057.59 and 1,745.69

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Solution

The fourth proportional to 2,940.74, 4,057.59 and 1,745.69 is: 2,408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.74 : 4,057.59 = 1,745.69 : x
  2. Step 2: Convert to fraction form
    2,940.74/4,057.59 = 1,745.69/x
  3. Step 3: Cross multiply
    2,940.74x = 4,057.59 × 1,745.69
  4. Step 4: Simplify right side
    2,940.74x = 7,083,280.55
  5. Step 5: Solve for x
    x = 7,083,280.55/2,940.74
  6. Step 6: Final answer
    x = 2,408.67

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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.