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Finding the Fourth Proportional to 2,293.76, 3,163.92 and 1,362.08

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Solution

The fourth proportional to 2,293.76, 3,163.92 and 1,362.08 is: 1,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.76 : 3,163.92 = 1,362.08 : x
  2. Step 2: Convert to fraction form
    2,293.76/3,163.92 = 1,362.08/x
  3. Step 3: Cross multiply
    2,293.76x = 3,163.92 × 1,362.08
  4. Step 4: Simplify right side
    2,293.76x = 4,309,512.15
  5. Step 5: Solve for x
    x = 4,309,512.15/2,293.76
  6. Step 6: Final answer
    x = 1,878.80

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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.