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Finding the Fourth Proportional to 2,826.52, 4,238.17 and 1,160.17

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Solution

The fourth proportional to 2,826.52, 4,238.17 and 1,160.17 is: 1,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.52 : 4,238.17 = 1,160.17 : x
  2. Step 2: Convert to fraction form
    2,826.52/4,238.17 = 1,160.17/x
  3. Step 3: Cross multiply
    2,826.52x = 4,238.17 × 1,160.17
  4. Step 4: Simplify right side
    2,826.52x = 4,917,014.56
  5. Step 5: Solve for x
    x = 4,917,014.56/2,826.52
  6. Step 6: Final answer
    x = 1,739.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.