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Finding the Fourth Proportional to 2,004.93, 2,766.78 and 1,218.42

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Solution

The fourth proportional to 2,004.93, 2,766.78 and 1,218.42 is: 1,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.93 : 2,766.78 = 1,218.42 : x
  2. Step 2: Convert to fraction form
    2,004.93/2,766.78 = 1,218.42/x
  3. Step 3: Cross multiply
    2,004.93x = 2,766.78 × 1,218.42
  4. Step 4: Simplify right side
    2,004.93x = 3,371,100.09
  5. Step 5: Solve for x
    x = 3,371,100.09/2,004.93
  6. Step 6: Final answer
    x = 1,681.41

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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.