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Finding the Fourth Proportional to 2,676.20, 4,007 and 2,428.32

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Solution

The fourth proportional to 2,676.20, 4,007 and 2,428.32 is: 3,635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.20 : 4,007 = 2,428.32 : x
  2. Step 2: Convert to fraction form
    2,676.20/4,007 = 2,428.32/x
  3. Step 3: Cross multiply
    2,676.20x = 4,007 × 2,428.32
  4. Step 4: Simplify right side
    2,676.20x = 9,730,278.24
  5. Step 5: Solve for x
    x = 9,730,278.24/2,676.20
  6. Step 6: Final answer
    x = 3,635.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.