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Finding the Fourth Proportional to 1,806.47, 2,709.78 and 573.86

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Solution

The fourth proportional to 1,806.47, 2,709.78 and 573.86 is: 860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.47 : 2,709.78 = 573.86 : x
  2. Step 2: Convert to fraction form
    1,806.47/2,709.78 = 573.86/x
  3. Step 3: Cross multiply
    1,806.47x = 2,709.78 × 573.86
  4. Step 4: Simplify right side
    1,806.47x = 1,555,020.80
  5. Step 5: Solve for x
    x = 1,555,020.80/1,806.47
  6. Step 6: Final answer
    x = 860.81

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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.