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Finding the Fourth Proportional to 2,205.74, 3,043.13 and 1,260.84

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Solution

The fourth proportional to 2,205.74, 3,043.13 and 1,260.84 is: 1,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.74 : 3,043.13 = 1,260.84 : x
  2. Step 2: Convert to fraction form
    2,205.74/3,043.13 = 1,260.84/x
  3. Step 3: Cross multiply
    2,205.74x = 3,043.13 × 1,260.84
  4. Step 4: Simplify right side
    2,205.74x = 3,836,900.03
  5. Step 5: Solve for x
    x = 3,836,900.03/2,205.74
  6. Step 6: Final answer
    x = 1,739.51

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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.