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Finding the Fourth Proportional to 2,716.37, 4,074.86 and 867.05

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Solution

The fourth proportional to 2,716.37, 4,074.86 and 867.05 is: 1,300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.37 : 4,074.86 = 867.05 : x
  2. Step 2: Convert to fraction form
    2,716.37/4,074.86 = 867.05/x
  3. Step 3: Cross multiply
    2,716.37x = 4,074.86 × 867.05
  4. Step 4: Simplify right side
    2,716.37x = 3,533,113.21
  5. Step 5: Solve for x
    x = 3,533,113.21/2,716.37
  6. Step 6: Final answer
    x = 1,300.67

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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.