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Finding the Fourth Proportional to 2,682.36, 3,698.84 and 2,121.93

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Solution

The fourth proportional to 2,682.36, 3,698.84 and 2,121.93 is: 2,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.36 : 3,698.84 = 2,121.93 : x
  2. Step 2: Convert to fraction form
    2,682.36/3,698.84 = 2,121.93/x
  3. Step 3: Cross multiply
    2,682.36x = 3,698.84 × 2,121.93
  4. Step 4: Simplify right side
    2,682.36x = 7,848,668.95
  5. Step 5: Solve for x
    x = 7,848,668.95/2,682.36
  6. Step 6: Final answer
    x = 2,926.03

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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.