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Finding the Fourth Proportional to 2,555.34, 3,828.15 and 1,676.90

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Solution

The fourth proportional to 2,555.34, 3,828.15 and 1,676.90 is: 2,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.34 : 3,828.15 = 1,676.90 : x
  2. Step 2: Convert to fraction form
    2,555.34/3,828.15 = 1,676.90/x
  3. Step 3: Cross multiply
    2,555.34x = 3,828.15 × 1,676.90
  4. Step 4: Simplify right side
    2,555.34x = 6,419,405.59
  5. Step 5: Solve for x
    x = 6,419,405.59/2,555.34
  6. Step 6: Final answer
    x = 2,512.15

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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.