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Finding the Fourth Proportional to 2,882.16, 4,324.65 and 1,786.23

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Solution

The fourth proportional to 2,882.16, 4,324.65 and 1,786.23 is: 2,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.16 : 4,324.65 = 1,786.23 : x
  2. Step 2: Convert to fraction form
    2,882.16/4,324.65 = 1,786.23/x
  3. Step 3: Cross multiply
    2,882.16x = 4,324.65 × 1,786.23
  4. Step 4: Simplify right side
    2,882.16x = 7,724,819.57
  5. Step 5: Solve for x
    x = 7,724,819.57/2,882.16
  6. Step 6: Final answer
    x = 2,680.22

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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.