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Finding the Fourth Proportional to 4,665.40, 6,991.89 and 1,740.76

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Solution

The fourth proportional to 4,665.40, 6,991.89 and 1,740.76 is: 2,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.40 : 6,991.89 = 1,740.76 : x
  2. Step 2: Convert to fraction form
    4,665.40/6,991.89 = 1,740.76/x
  3. Step 3: Cross multiply
    4,665.40x = 6,991.89 × 1,740.76
  4. Step 4: Simplify right side
    4,665.40x = 12,171,202.44
  5. Step 5: Solve for x
    x = 12,171,202.44/4,665.40
  6. Step 6: Final answer
    x = 2,608.82

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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.