Home / 2,021.70-3,033.08-1,097.02

Finding the Fourth Proportional to 2,021.70, 3,033.08 and 1,097.02

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Solution

The fourth proportional to 2,021.70, 3,033.08 and 1,097.02 is: 1,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.70 : 3,033.08 = 1,097.02 : x
  2. Step 2: Convert to fraction form
    2,021.70/3,033.08 = 1,097.02/x
  3. Step 3: Cross multiply
    2,021.70x = 3,033.08 × 1,097.02
  4. Step 4: Simplify right side
    2,021.70x = 3,327,351.84
  5. Step 5: Solve for x
    x = 3,327,351.84/2,021.70
  6. Step 6: Final answer
    x = 1,645.82

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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.