Home / 2,552.40-3,828.60-820.98

Finding the Fourth Proportional to 2,552.40, 3,828.60 and 820.98

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Solution

The fourth proportional to 2,552.40, 3,828.60 and 820.98 is: 1,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.40 : 3,828.60 = 820.98 : x
  2. Step 2: Convert to fraction form
    2,552.40/3,828.60 = 820.98/x
  3. Step 3: Cross multiply
    2,552.40x = 3,828.60 × 820.98
  4. Step 4: Simplify right side
    2,552.40x = 3,143,204.03
  5. Step 5: Solve for x
    x = 3,143,204.03/2,552.40
  6. Step 6: Final answer
    x = 1,231.47

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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.