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Finding the Fourth Proportional to 4,660.63, 6,991.62 and 1,540.96

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Solution

The fourth proportional to 4,660.63, 6,991.62 and 1,540.96 is: 2,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.63 : 6,991.62 = 1,540.96 : x
  2. Step 2: Convert to fraction form
    4,660.63/6,991.62 = 1,540.96/x
  3. Step 3: Cross multiply
    4,660.63x = 6,991.62 × 1,540.96
  4. Step 4: Simplify right side
    4,660.63x = 10,773,806.76
  5. Step 5: Solve for x
    x = 10,773,806.76/4,660.63
  6. Step 6: Final answer
    x = 2,311.66

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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.