Home / 2,124.07-3,187.73-824.83

Finding the Fourth Proportional to 2,124.07, 3,187.73 and 824.83

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Solution

The fourth proportional to 2,124.07, 3,187.73 and 824.83 is: 1,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.07 : 3,187.73 = 824.83 : x
  2. Step 2: Convert to fraction form
    2,124.07/3,187.73 = 824.83/x
  3. Step 3: Cross multiply
    2,124.07x = 3,187.73 × 824.83
  4. Step 4: Simplify right side
    2,124.07x = 2,629,335.34
  5. Step 5: Solve for x
    x = 2,629,335.34/2,124.07
  6. Step 6: Final answer
    x = 1,237.88

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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.