Home / 2,053.17-3,081.24-820.92

Finding the Fourth Proportional to 2,053.17, 3,081.24 and 820.92

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Solution

The fourth proportional to 2,053.17, 3,081.24 and 820.92 is: 1,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.17 : 3,081.24 = 820.92 : x
  2. Step 2: Convert to fraction form
    2,053.17/3,081.24 = 820.92/x
  3. Step 3: Cross multiply
    2,053.17x = 3,081.24 × 820.92
  4. Step 4: Simplify right side
    2,053.17x = 2,529,459.24
  5. Step 5: Solve for x
    x = 2,529,459.24/2,053.17
  6. Step 6: Final answer
    x = 1,231.98

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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.