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Finding the Fourth Proportional to 2,806.26, 4,209.40 and 858.48

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Solution

The fourth proportional to 2,806.26, 4,209.40 and 858.48 is: 1,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.26 : 4,209.40 = 858.48 : x
  2. Step 2: Convert to fraction form
    2,806.26/4,209.40 = 858.48/x
  3. Step 3: Cross multiply
    2,806.26x = 4,209.40 × 858.48
  4. Step 4: Simplify right side
    2,806.26x = 3,613,685.71
  5. Step 5: Solve for x
    x = 3,613,685.71/2,806.26
  6. Step 6: Final answer
    x = 1,287.72

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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.