Home / 2,137.98-3,202.76-1,405.32

Finding the Fourth Proportional to 2,137.98, 3,202.76 and 1,405.32

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Solution

The fourth proportional to 2,137.98, 3,202.76 and 1,405.32 is: 2,105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.98 : 3,202.76 = 1,405.32 : x
  2. Step 2: Convert to fraction form
    2,137.98/3,202.76 = 1,405.32/x
  3. Step 3: Cross multiply
    2,137.98x = 3,202.76 × 1,405.32
  4. Step 4: Simplify right side
    2,137.98x = 4,500,902.68
  5. Step 5: Solve for x
    x = 4,500,902.68/2,137.98
  6. Step 6: Final answer
    x = 2,105.21

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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.