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Finding the Fourth Proportional to 2,322.75, 3,205.41 and 1,260.54

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Solution

The fourth proportional to 2,322.75, 3,205.41 and 1,260.54 is: 1,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.75 : 3,205.41 = 1,260.54 : x
  2. Step 2: Convert to fraction form
    2,322.75/3,205.41 = 1,260.54/x
  3. Step 3: Cross multiply
    2,322.75x = 3,205.41 × 1,260.54
  4. Step 4: Simplify right side
    2,322.75x = 4,040,547.52
  5. Step 5: Solve for x
    x = 4,040,547.52/2,322.75
  6. Step 6: Final answer
    x = 1,739.55

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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.