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Finding the Fourth Proportional to 1,806.20, 2,709.32 and 573.60

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Solution

The fourth proportional to 1,806.20, 2,709.32 and 573.60 is: 860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.20 : 2,709.32 = 573.60 : x
  2. Step 2: Convert to fraction form
    1,806.20/2,709.32 = 573.60/x
  3. Step 3: Cross multiply
    1,806.20x = 2,709.32 × 573.60
  4. Step 4: Simplify right side
    1,806.20x = 1,554,063.08
  5. Step 5: Solve for x
    x = 1,554,063.08/1,806.20
  6. Step 6: Final answer
    x = 860.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.