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Finding the Fourth Proportional to 1,646.97, 2,272.82 and 983.79

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Solution

The fourth proportional to 1,646.97, 2,272.82 and 983.79 is: 1,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.97 : 2,272.82 = 983.79 : x
  2. Step 2: Convert to fraction form
    1,646.97/2,272.82 = 983.79/x
  3. Step 3: Cross multiply
    1,646.97x = 2,272.82 × 983.79
  4. Step 4: Simplify right side
    1,646.97x = 2,235,972.67
  5. Step 5: Solve for x
    x = 2,235,972.67/1,646.97
  6. Step 6: Final answer
    x = 1,357.63

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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.