Home / 2,122.66-3,185.16-824.14

Finding the Fourth Proportional to 2,122.66, 3,185.16 and 824.14

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Solution

The fourth proportional to 2,122.66, 3,185.16 and 824.14 is: 1,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.66 : 3,185.16 = 824.14 : x
  2. Step 2: Convert to fraction form
    2,122.66/3,185.16 = 824.14/x
  3. Step 3: Cross multiply
    2,122.66x = 3,185.16 × 824.14
  4. Step 4: Simplify right side
    2,122.66x = 2,625,017.76
  5. Step 5: Solve for x
    x = 2,625,017.76/2,122.66
  6. Step 6: Final answer
    x = 1,236.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.