Home / 2,133.14-3,196.96-1,036

Finding the Fourth Proportional to 2,133.14, 3,196.96 and 1,036

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Solution

The fourth proportional to 2,133.14, 3,196.96 and 1,036 is: 1,552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.14 : 3,196.96 = 1,036 : x
  2. Step 2: Convert to fraction form
    2,133.14/3,196.96 = 1,036/x
  3. Step 3: Cross multiply
    2,133.14x = 3,196.96 × 1,036
  4. Step 4: Simplify right side
    2,133.14x = 3,312,050.56
  5. Step 5: Solve for x
    x = 3,312,050.56/2,133.14
  6. Step 6: Final answer
    x = 1,552.66

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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.