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Finding the Fourth Proportional to 2,682.82, 3,703.29 and 1,855.94

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Solution

The fourth proportional to 2,682.82, 3,703.29 and 1,855.94 is: 2,561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.82 : 3,703.29 = 1,855.94 : x
  2. Step 2: Convert to fraction form
    2,682.82/3,703.29 = 1,855.94/x
  3. Step 3: Cross multiply
    2,682.82x = 3,703.29 × 1,855.94
  4. Step 4: Simplify right side
    2,682.82x = 6,873,084.04
  5. Step 5: Solve for x
    x = 6,873,084.04/2,682.82
  6. Step 6: Final answer
    x = 2,561.89

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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.