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Finding the Fourth Proportional to 2,647.75, 3,970.44 and 1,414.87

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Solution

The fourth proportional to 2,647.75, 3,970.44 and 1,414.87 is: 2,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.75 : 3,970.44 = 1,414.87 : x
  2. Step 2: Convert to fraction form
    2,647.75/3,970.44 = 1,414.87/x
  3. Step 3: Cross multiply
    2,647.75x = 3,970.44 × 1,414.87
  4. Step 4: Simplify right side
    2,647.75x = 5,617,656.44
  5. Step 5: Solve for x
    x = 5,617,656.44/2,647.75
  6. Step 6: Final answer
    x = 2,121.67

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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.