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Finding the Fourth Proportional to 1,646.73, 2,272.26 and 983.44

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Solution

The fourth proportional to 1,646.73, 2,272.26 and 983.44 is: 1,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.73 : 2,272.26 = 983.44 : x
  2. Step 2: Convert to fraction form
    1,646.73/2,272.26 = 983.44/x
  3. Step 3: Cross multiply
    1,646.73x = 2,272.26 × 983.44
  4. Step 4: Simplify right side
    1,646.73x = 2,234,623.85
  5. Step 5: Solve for x
    x = 2,234,623.85/1,646.73
  6. Step 6: Final answer
    x = 1,357.01

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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.