Home / 1,555.41-2,331.23-824.52

Finding the Fourth Proportional to 1,555.41, 2,331.23 and 824.52

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Solution

The fourth proportional to 1,555.41, 2,331.23 and 824.52 is: 1,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.41 : 2,331.23 = 824.52 : x
  2. Step 2: Convert to fraction form
    1,555.41/2,331.23 = 824.52/x
  3. Step 3: Cross multiply
    1,555.41x = 2,331.23 × 824.52
  4. Step 4: Simplify right side
    1,555.41x = 1,922,141.64
  5. Step 5: Solve for x
    x = 1,922,141.64/1,555.41
  6. Step 6: Final answer
    x = 1,235.78

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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.