Home / 2,056.41-3,084.66-824.40

Finding the Fourth Proportional to 2,056.41, 3,084.66 and 824.40

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Solution

The fourth proportional to 2,056.41, 3,084.66 and 824.40 is: 1,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.41 : 3,084.66 = 824.40 : x
  2. Step 2: Convert to fraction form
    2,056.41/3,084.66 = 824.40/x
  3. Step 3: Cross multiply
    2,056.41x = 3,084.66 × 824.40
  4. Step 4: Simplify right side
    2,056.41x = 2,542,993.70
  5. Step 5: Solve for x
    x = 2,542,993.70/2,056.41
  6. Step 6: Final answer
    x = 1,236.62

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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.