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Finding the Fourth Proportional to 2,684.79, 4,028.03 and 1,205.25

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Solution

The fourth proportional to 2,684.79, 4,028.03 and 1,205.25 is: 1,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.79 : 4,028.03 = 1,205.25 : x
  2. Step 2: Convert to fraction form
    2,684.79/4,028.03 = 1,205.25/x
  3. Step 3: Cross multiply
    2,684.79x = 4,028.03 × 1,205.25
  4. Step 4: Simplify right side
    2,684.79x = 4,854,777.13
  5. Step 5: Solve for x
    x = 4,854,777.13/2,684.79
  6. Step 6: Final answer
    x = 1,808.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.