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Finding the Fourth Proportional to 2,741.87, 4,112.21 and 867.91

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Solution

The fourth proportional to 2,741.87, 4,112.21 and 867.91 is: 1,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.87 : 4,112.21 = 867.91 : x
  2. Step 2: Convert to fraction form
    2,741.87/4,112.21 = 867.91/x
  3. Step 3: Cross multiply
    2,741.87x = 4,112.21 × 867.91
  4. Step 4: Simplify right side
    2,741.87x = 3,569,005.45
  5. Step 5: Solve for x
    x = 3,569,005.45/2,741.87
  6. Step 6: Final answer
    x = 1,301.67

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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.