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Finding the Fourth Proportional to 3,205.40, 4,809.11 and 1,257.75

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Solution

The fourth proportional to 3,205.40, 4,809.11 and 1,257.75 is: 1,887.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.40 : 4,809.11 = 1,257.75 : x
  2. Step 2: Convert to fraction form
    3,205.40/4,809.11 = 1,257.75/x
  3. Step 3: Cross multiply
    3,205.40x = 4,809.11 × 1,257.75
  4. Step 4: Simplify right side
    3,205.40x = 6,048,651.81
  5. Step 5: Solve for x
    x = 6,048,651.81/3,205.40
  6. Step 6: Final answer
    x = 1,887.02

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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.