Home / 2,137.10-3,205.10-838.58

Finding the Fourth Proportional to 2,137.10, 3,205.10 and 838.58

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Solution

The fourth proportional to 2,137.10, 3,205.10 and 838.58 is: 1,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.10 : 3,205.10 = 838.58 : x
  2. Step 2: Convert to fraction form
    2,137.10/3,205.10 = 838.58/x
  3. Step 3: Cross multiply
    2,137.10x = 3,205.10 × 838.58
  4. Step 4: Simplify right side
    2,137.10x = 2,687,732.76
  5. Step 5: Solve for x
    x = 2,687,732.76/2,137.10
  6. Step 6: Final answer
    x = 1,257.65

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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.