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Finding the Fourth Proportional to 4,661.40, 6,991.09 and 1,540.67

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Solution

The fourth proportional to 4,661.40, 6,991.09 and 1,540.67 is: 2,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.40 : 6,991.09 = 1,540.67 : x
  2. Step 2: Convert to fraction form
    4,661.40/6,991.09 = 1,540.67/x
  3. Step 3: Cross multiply
    4,661.40x = 6,991.09 × 1,540.67
  4. Step 4: Simplify right side
    4,661.40x = 10,770,971.81
  5. Step 5: Solve for x
    x = 10,770,971.81/4,661.40
  6. Step 6: Final answer
    x = 2,310.67

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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.