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Finding the Fourth Proportional to 2,059.56, 2,840.81 and 1,274.00

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Solution

The fourth proportional to 2,059.56, 2,840.81 and 1,274.00 is: 1,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.56 : 2,840.81 = 1,274.00 : x
  2. Step 2: Convert to fraction form
    2,059.56/2,840.81 = 1,274.00/x
  3. Step 3: Cross multiply
    2,059.56x = 2,840.81 × 1,274.00
  4. Step 4: Simplify right side
    2,059.56x = 3,619,171.37
  5. Step 5: Solve for x
    x = 3,619,171.37/2,059.56
  6. Step 6: Final answer
    x = 1,757.25

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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.