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Finding the Fourth Proportional to 2,454.54, 3,676.78 and 2,042.34

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Solution

The fourth proportional to 2,454.54, 3,676.78 and 2,042.34 is: 3,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.54 : 3,676.78 = 2,042.34 : x
  2. Step 2: Convert to fraction form
    2,454.54/3,676.78 = 2,042.34/x
  3. Step 3: Cross multiply
    2,454.54x = 3,676.78 × 2,042.34
  4. Step 4: Simplify right side
    2,454.54x = 7,509,234.87
  5. Step 5: Solve for x
    x = 7,509,234.87/2,454.54
  6. Step 6: Final answer
    x = 3,059.32

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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.