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Finding the Fourth Proportional to 2,004.97, 2,763.12 and 1,444.48

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Solution

The fourth proportional to 2,004.97, 2,763.12 and 1,444.48 is: 1,990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.97 : 2,763.12 = 1,444.48 : x
  2. Step 2: Convert to fraction form
    2,004.97/2,763.12 = 1,444.48/x
  3. Step 3: Cross multiply
    2,004.97x = 2,763.12 × 1,444.48
  4. Step 4: Simplify right side
    2,004.97x = 3,991,271.58
  5. Step 5: Solve for x
    x = 3,991,271.58/2,004.97
  6. Step 6: Final answer
    x = 1,990.69

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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.