Home / 2,212.21-3,317.86-824.78

Finding the Fourth Proportional to 2,212.21, 3,317.86 and 824.78

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Solution

The fourth proportional to 2,212.21, 3,317.86 and 824.78 is: 1,237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.21 : 3,317.86 = 824.78 : x
  2. Step 2: Convert to fraction form
    2,212.21/3,317.86 = 824.78/x
  3. Step 3: Cross multiply
    2,212.21x = 3,317.86 × 824.78
  4. Step 4: Simplify right side
    2,212.21x = 2,736,513.90
  5. Step 5: Solve for x
    x = 2,736,513.90/2,212.21
  6. Step 6: Final answer
    x = 1,237.00

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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.