Home / 2,162.12-2,984.68-1,577.12

Finding the Fourth Proportional to 2,162.12, 2,984.68 and 1,577.12

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Solution

The fourth proportional to 2,162.12, 2,984.68 and 1,577.12 is: 2,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.12 : 2,984.68 = 1,577.12 : x
  2. Step 2: Convert to fraction form
    2,162.12/2,984.68 = 1,577.12/x
  3. Step 3: Cross multiply
    2,162.12x = 2,984.68 × 1,577.12
  4. Step 4: Simplify right side
    2,162.12x = 4,707,198.52
  5. Step 5: Solve for x
    x = 4,707,198.52/2,162.12
  6. Step 6: Final answer
    x = 2,177.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.