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Finding the Fourth Proportional to 2,094.58, 2,890.74 and 1,163.08

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Solution

The fourth proportional to 2,094.58, 2,890.74 and 1,163.08 is: 1,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.58 : 2,890.74 = 1,163.08 : x
  2. Step 2: Convert to fraction form
    2,094.58/2,890.74 = 1,163.08/x
  3. Step 3: Cross multiply
    2,094.58x = 2,890.74 × 1,163.08
  4. Step 4: Simplify right side
    2,094.58x = 3,362,161.88
  5. Step 5: Solve for x
    x = 3,362,161.88/2,094.58
  6. Step 6: Final answer
    x = 1,605.17

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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.