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Finding the Fourth Proportional to 2,698.68, 3,719.34 and 1,998.84

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Solution

The fourth proportional to 2,698.68, 3,719.34 and 1,998.84 is: 2,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.68 : 3,719.34 = 1,998.84 : x
  2. Step 2: Convert to fraction form
    2,698.68/3,719.34 = 1,998.84/x
  3. Step 3: Cross multiply
    2,698.68x = 3,719.34 × 1,998.84
  4. Step 4: Simplify right side
    2,698.68x = 7,434,365.57
  5. Step 5: Solve for x
    x = 7,434,365.57/2,698.68
  6. Step 6: Final answer
    x = 2,754.82

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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.