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Finding the Fourth Proportional to 2,094.47, 2,890.37 and 1,162.97

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Solution

The fourth proportional to 2,094.47, 2,890.37 and 1,162.97 is: 1,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.47 : 2,890.37 = 1,162.97 : x
  2. Step 2: Convert to fraction form
    2,094.47/2,890.37 = 1,162.97/x
  3. Step 3: Cross multiply
    2,094.47x = 2,890.37 × 1,162.97
  4. Step 4: Simplify right side
    2,094.47x = 3,361,412.89
  5. Step 5: Solve for x
    x = 3,361,412.89/2,094.47
  6. Step 6: Final answer
    x = 1,604.90

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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.