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Finding the Fourth Proportional to 1,682.58, 2,321.97 and 1,018.97

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Solution

The fourth proportional to 1,682.58, 2,321.97 and 1,018.97 is: 1,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.58 : 2,321.97 = 1,018.97 : x
  2. Step 2: Convert to fraction form
    1,682.58/2,321.97 = 1,018.97/x
  3. Step 3: Cross multiply
    1,682.58x = 2,321.97 × 1,018.97
  4. Step 4: Simplify right side
    1,682.58x = 2,366,006.16
  5. Step 5: Solve for x
    x = 2,366,006.16/1,682.58
  6. Step 6: Final answer
    x = 1,406.18

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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.