Home / 2,674.09-4,010.88-824.71

Finding the Fourth Proportional to 2,674.09, 4,010.88 and 824.71

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Solution

The fourth proportional to 2,674.09, 4,010.88 and 824.71 is: 1,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.09 : 4,010.88 = 824.71 : x
  2. Step 2: Convert to fraction form
    2,674.09/4,010.88 = 824.71/x
  3. Step 3: Cross multiply
    2,674.09x = 4,010.88 × 824.71
  4. Step 4: Simplify right side
    2,674.09x = 3,307,812.84
  5. Step 5: Solve for x
    x = 3,307,812.84/2,674.09
  6. Step 6: Final answer
    x = 1,236.99

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1.5x scale

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.