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Finding the Fourth Proportional to 2,806.33, 4,209.33 and 858.38

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Solution

The fourth proportional to 2,806.33, 4,209.33 and 858.38 is: 1,287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.33 : 4,209.33 = 858.38 : x
  2. Step 2: Convert to fraction form
    2,806.33/4,209.33 = 858.38/x
  3. Step 3: Cross multiply
    2,806.33x = 4,209.33 × 858.38
  4. Step 4: Simplify right side
    2,806.33x = 3,613,204.69
  5. Step 5: Solve for x
    x = 3,613,204.69/2,806.33
  6. Step 6: Final answer
    x = 1,287.52

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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.