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Finding the Fourth Proportional to 2,322.84, 3,205.50 and 1,260.59

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Solution

The fourth proportional to 2,322.84, 3,205.50 and 1,260.59 is: 1,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.84 : 3,205.50 = 1,260.59 : x
  2. Step 2: Convert to fraction form
    2,322.84/3,205.50 = 1,260.59/x
  3. Step 3: Cross multiply
    2,322.84x = 3,205.50 × 1,260.59
  4. Step 4: Simplify right side
    2,322.84x = 4,040,800.49
  5. Step 5: Solve for x
    x = 4,040,800.49/2,322.84
  6. Step 6: Final answer
    x = 1,739.59

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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.