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Finding the Fourth Proportional to 2,107.26, 3,162.06 and 874.44

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Solution

The fourth proportional to 2,107.26, 3,162.06 and 874.44 is: 1,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.26 : 3,162.06 = 874.44 : x
  2. Step 2: Convert to fraction form
    2,107.26/3,162.06 = 874.44/x
  3. Step 3: Cross multiply
    2,107.26x = 3,162.06 × 874.44
  4. Step 4: Simplify right side
    2,107.26x = 2,765,031.75
  5. Step 5: Solve for x
    x = 2,765,031.75/2,107.26
  6. Step 6: Final answer
    x = 1,312.15

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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.