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Finding the Fourth Proportional to 2,974.49, 4,104.02 and 1,795.13

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Solution

The fourth proportional to 2,974.49, 4,104.02 and 1,795.13 is: 2,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.49 : 4,104.02 = 1,795.13 : x
  2. Step 2: Convert to fraction form
    2,974.49/4,104.02 = 1,795.13/x
  3. Step 3: Cross multiply
    2,974.49x = 4,104.02 × 1,795.13
  4. Step 4: Simplify right side
    2,974.49x = 7,367,219.93
  5. Step 5: Solve for x
    x = 7,367,219.93/2,974.49
  6. Step 6: Final answer
    x = 2,476.81

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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.