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Finding the Fourth Proportional to 1,981.83, 2,736.18 and 1,274.00

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Solution

The fourth proportional to 1,981.83, 2,736.18 and 1,274.00 is: 1,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.83 : 2,736.18 = 1,274.00 : x
  2. Step 2: Convert to fraction form
    1,981.83/2,736.18 = 1,274.00/x
  3. Step 3: Cross multiply
    1,981.83x = 2,736.18 × 1,274.00
  4. Step 4: Simplify right side
    1,981.83x = 3,485,900.16
  5. Step 5: Solve for x
    x = 3,485,900.16/1,981.83
  6. Step 6: Final answer
    x = 1,758.93

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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.