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Finding the Fourth Proportional to 2,682.93, 3,704.09 and 2,125.65

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Solution

The fourth proportional to 2,682.93, 3,704.09 and 2,125.65 is: 2,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.93 : 3,704.09 = 2,125.65 : x
  2. Step 2: Convert to fraction form
    2,682.93/3,704.09 = 2,125.65/x
  3. Step 3: Cross multiply
    2,682.93x = 3,704.09 × 2,125.65
  4. Step 4: Simplify right side
    2,682.93x = 7,873,588.28
  5. Step 5: Solve for x
    x = 7,873,588.28/2,682.93
  6. Step 6: Final answer
    x = 2,934.70

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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.