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Finding the Fourth Proportional to 3,204.25, 4,800.91 and 1,740.79

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Solution

The fourth proportional to 3,204.25, 4,800.91 and 1,740.79 is: 2,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.25 : 4,800.91 = 1,740.79 : x
  2. Step 2: Convert to fraction form
    3,204.25/4,800.91 = 1,740.79/x
  3. Step 3: Cross multiply
    3,204.25x = 4,800.91 × 1,740.79
  4. Step 4: Simplify right side
    3,204.25x = 8,357,352.11
  5. Step 5: Solve for x
    x = 8,357,352.11/3,204.25
  6. Step 6: Final answer
    x = 2,608.21

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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.