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Finding the Fourth Proportional to 2,974.30, 4,103.22 and 2,090.68

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Solution

The fourth proportional to 2,974.30, 4,103.22 and 2,090.68 is: 2,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.30 : 4,103.22 = 2,090.68 : x
  2. Step 2: Convert to fraction form
    2,974.30/4,103.22 = 2,090.68/x
  3. Step 3: Cross multiply
    2,974.30x = 4,103.22 × 2,090.68
  4. Step 4: Simplify right side
    2,974.30x = 8,578,519.99
  5. Step 5: Solve for x
    x = 8,578,519.99/2,974.30
  6. Step 6: Final answer
    x = 2,884.21

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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.