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Finding the Fourth Proportional to 2,974.29, 4,104.48 and 1,647.99

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Solution

The fourth proportional to 2,974.29, 4,104.48 and 1,647.99 is: 2,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.29 : 4,104.48 = 1,647.99 : x
  2. Step 2: Convert to fraction form
    2,974.29/4,104.48 = 1,647.99/x
  3. Step 3: Cross multiply
    2,974.29x = 4,104.48 × 1,647.99
  4. Step 4: Simplify right side
    2,974.29x = 6,764,142.00
  5. Step 5: Solve for x
    x = 6,764,142.00/2,974.29
  6. Step 6: Final answer
    x = 2,274.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.