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Finding the Fourth Proportional to 3,456.40, 4,770.75 and 2,040.25

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Solution

The fourth proportional to 3,456.40, 4,770.75 and 2,040.25 is: 2,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.40 : 4,770.75 = 2,040.25 : x
  2. Step 2: Convert to fraction form
    3,456.40/4,770.75 = 2,040.25/x
  3. Step 3: Cross multiply
    3,456.40x = 4,770.75 × 2,040.25
  4. Step 4: Simplify right side
    3,456.40x = 9,733,522.69
  5. Step 5: Solve for x
    x = 9,733,522.69/3,456.40
  6. Step 6: Final answer
    x = 2,816.09

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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.