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Finding the Fourth Proportional to 3,456.57, 4,768.95 and 2,040.74

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Solution

The fourth proportional to 3,456.57, 4,768.95 and 2,040.74 is: 2,815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.57 : 4,768.95 = 2,040.74 : x
  2. Step 2: Convert to fraction form
    3,456.57/4,768.95 = 2,040.74/x
  3. Step 3: Cross multiply
    3,456.57x = 4,768.95 × 2,040.74
  4. Step 4: Simplify right side
    3,456.57x = 9,732,163.18
  5. Step 5: Solve for x
    x = 9,732,163.18/3,456.57
  6. Step 6: Final answer
    x = 2,815.56

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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.