Home / 2,555.19-3,832.79-824.07

Finding the Fourth Proportional to 2,555.19, 3,832.79 and 824.07

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Solution

The fourth proportional to 2,555.19, 3,832.79 and 824.07 is: 1,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.19 : 3,832.79 = 824.07 : x
  2. Step 2: Convert to fraction form
    2,555.19/3,832.79 = 824.07/x
  3. Step 3: Cross multiply
    2,555.19x = 3,832.79 × 824.07
  4. Step 4: Simplify right side
    2,555.19x = 3,158,483.13
  5. Step 5: Solve for x
    x = 3,158,483.13/2,555.19
  6. Step 6: Final answer
    x = 1,236.11

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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.