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Finding the Fourth Proportional to 2,826.68, 4,241.74 and 1,095.24

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Solution

The fourth proportional to 2,826.68, 4,241.74 and 1,095.24 is: 1,643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.68 : 4,241.74 = 1,095.24 : x
  2. Step 2: Convert to fraction form
    2,826.68/4,241.74 = 1,095.24/x
  3. Step 3: Cross multiply
    2,826.68x = 4,241.74 × 1,095.24
  4. Step 4: Simplify right side
    2,826.68x = 4,645,723.32
  5. Step 5: Solve for x
    x = 4,645,723.32/2,826.68
  6. Step 6: Final answer
    x = 1,643.53

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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.