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Finding the Fourth Proportional to 2,806.56, 4,209.66 and 858.42

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Solution

The fourth proportional to 2,806.56, 4,209.66 and 858.42 is: 1,287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.56 : 4,209.66 = 858.42 : x
  2. Step 2: Convert to fraction form
    2,806.56/4,209.66 = 858.42/x
  3. Step 3: Cross multiply
    2,806.56x = 4,209.66 × 858.42
  4. Step 4: Simplify right side
    2,806.56x = 3,613,656.34
  5. Step 5: Solve for x
    x = 3,613,656.34/2,806.56
  6. Step 6: Final answer
    x = 1,287.57

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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.