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Finding the Fourth Proportional to 1,647.25, 2,272.02 and 983.59

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Solution

The fourth proportional to 1,647.25, 2,272.02 and 983.59 is: 1,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.25 : 2,272.02 = 983.59 : x
  2. Step 2: Convert to fraction form
    1,647.25/2,272.02 = 983.59/x
  3. Step 3: Cross multiply
    1,647.25x = 2,272.02 × 983.59
  4. Step 4: Simplify right side
    1,647.25x = 2,234,736.15
  5. Step 5: Solve for x
    x = 2,234,736.15/1,647.25
  6. Step 6: Final answer
    x = 1,356.65

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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.