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Finding the Fourth Proportional to 2,890.99, 3,989.62 and 1,696.83

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Solution

The fourth proportional to 2,890.99, 3,989.62 and 1,696.83 is: 2,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.99 : 3,989.62 = 1,696.83 : x
  2. Step 2: Convert to fraction form
    2,890.99/3,989.62 = 1,696.83/x
  3. Step 3: Cross multiply
    2,890.99x = 3,989.62 × 1,696.83
  4. Step 4: Simplify right side
    2,890.99x = 6,769,716.51
  5. Step 5: Solve for x
    x = 6,769,716.51/2,890.99
  6. Step 6: Final answer
    x = 2,341.66

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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.