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Finding the Fourth Proportional to 2,891.99, 3,991 and 1,697.83

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Solution

The fourth proportional to 2,891.99, 3,991 and 1,697.83 is: 2,343.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.99 : 3,991 = 1,697.83 : x
  2. Step 2: Convert to fraction form
    2,891.99/3,991 = 1,697.83/x
  3. Step 3: Cross multiply
    2,891.99x = 3,991 × 1,697.83
  4. Step 4: Simplify right side
    2,891.99x = 6,776,039.53
  5. Step 5: Solve for x
    x = 6,776,039.53/2,891.99
  6. Step 6: Final answer
    x = 2,343.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.