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Finding the Fourth Proportional to 1,905.94, 2,628.72 and 1,276.27

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Solution

The fourth proportional to 1,905.94, 2,628.72 and 1,276.27 is: 1,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.94 : 2,628.72 = 1,276.27 : x
  2. Step 2: Convert to fraction form
    1,905.94/2,628.72 = 1,276.27/x
  3. Step 3: Cross multiply
    1,905.94x = 2,628.72 × 1,276.27
  4. Step 4: Simplify right side
    1,905.94x = 3,354,950.09
  5. Step 5: Solve for x
    x = 3,354,950.09/1,905.94
  6. Step 6: Final answer
    x = 1,760.26

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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.