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Finding the Fourth Proportional to 3,456.75, 4,770.94 and 2,040.35

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Solution

The fourth proportional to 3,456.75, 4,770.94 and 2,040.35 is: 2,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.75 : 4,770.94 = 2,040.35 : x
  2. Step 2: Convert to fraction form
    3,456.75/4,770.94 = 2,040.35/x
  3. Step 3: Cross multiply
    3,456.75x = 4,770.94 × 2,040.35
  4. Step 4: Simplify right side
    3,456.75x = 9,734,387.43
  5. Step 5: Solve for x
    x = 9,734,387.43/3,456.75
  6. Step 6: Final answer
    x = 2,816.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.