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Finding the Fourth Proportional to 3,205.80, 4,805.78 and 1,355.92

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Solution

The fourth proportional to 3,205.80, 4,805.78 and 1,355.92 is: 2,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.80 : 4,805.78 = 1,355.92 : x
  2. Step 2: Convert to fraction form
    3,205.80/4,805.78 = 1,355.92/x
  3. Step 3: Cross multiply
    3,205.80x = 4,805.78 × 1,355.92
  4. Step 4: Simplify right side
    3,205.80x = 6,516,253.22
  5. Step 5: Solve for x
    x = 6,516,253.22/3,205.80
  6. Step 6: Final answer
    x = 2,032.64

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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.