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Finding the Fourth Proportional to 2,894.44, 4,341.86 and 1,163.07

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Solution

The fourth proportional to 2,894.44, 4,341.86 and 1,163.07 is: 1,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.44 : 4,341.86 = 1,163.07 : x
  2. Step 2: Convert to fraction form
    2,894.44/4,341.86 = 1,163.07/x
  3. Step 3: Cross multiply
    2,894.44x = 4,341.86 × 1,163.07
  4. Step 4: Simplify right side
    2,894.44x = 5,049,887.11
  5. Step 5: Solve for x
    x = 5,049,887.11/2,894.44
  6. Step 6: Final answer
    x = 1,744.69

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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.