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Finding the Fourth Proportional to 1,983.54, 2,736.04 and 1,276.30

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Solution

The fourth proportional to 1,983.54, 2,736.04 and 1,276.30 is: 1,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.54 : 2,736.04 = 1,276.30 : x
  2. Step 2: Convert to fraction form
    1,983.54/2,736.04 = 1,276.30/x
  3. Step 3: Cross multiply
    1,983.54x = 2,736.04 × 1,276.30
  4. Step 4: Simplify right side
    1,983.54x = 3,492,016.12
  5. Step 5: Solve for x
    x = 3,492,016.12/1,983.54
  6. Step 6: Final answer
    x = 1,760.50

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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.