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Finding the Fourth Proportional to 3,205.96, 4,798.91 and 2,078.71

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Solution

The fourth proportional to 3,205.96, 4,798.91 and 2,078.71 is: 3,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.96 : 4,798.91 = 2,078.71 : x
  2. Step 2: Convert to fraction form
    3,205.96/4,798.91 = 2,078.71/x
  3. Step 3: Cross multiply
    3,205.96x = 4,798.91 × 2,078.71
  4. Step 4: Simplify right side
    3,205.96x = 9,975,535.41
  5. Step 5: Solve for x
    x = 9,975,535.41/3,205.96
  6. Step 6: Final answer
    x = 3,111.56

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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.