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Finding the Fourth Proportional to 1,646.75, 2,272.73 and 983.97

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Solution

The fourth proportional to 1,646.75, 2,272.73 and 983.97 is: 1,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.75 : 2,272.73 = 983.97 : x
  2. Step 2: Convert to fraction form
    1,646.75/2,272.73 = 983.97/x
  3. Step 3: Cross multiply
    1,646.75x = 2,272.73 × 983.97
  4. Step 4: Simplify right side
    1,646.75x = 2,236,293.22
  5. Step 5: Solve for x
    x = 2,236,293.22/1,646.75
  6. Step 6: Final answer
    x = 1,358.00

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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.