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Finding the Fourth Proportional to 1,682.96, 2,321.94 and 1,185.87

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Solution

The fourth proportional to 1,682.96, 2,321.94 and 1,185.87 is: 1,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.96 : 2,321.94 = 1,185.87 : x
  2. Step 2: Convert to fraction form
    1,682.96/2,321.94 = 1,185.87/x
  3. Step 3: Cross multiply
    1,682.96x = 2,321.94 × 1,185.87
  4. Step 4: Simplify right side
    1,682.96x = 2,753,532.14
  5. Step 5: Solve for x
    x = 2,753,532.14/1,682.96
  6. Step 6: Final answer
    x = 1,636.13

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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.