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Finding the Fourth Proportional to 2,723.35, 4,085.63 and 775.57

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Solution

The fourth proportional to 2,723.35, 4,085.63 and 775.57 is: 1,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.35 : 4,085.63 = 775.57 : x
  2. Step 2: Convert to fraction form
    2,723.35/4,085.63 = 775.57/x
  3. Step 3: Cross multiply
    2,723.35x = 4,085.63 × 775.57
  4. Step 4: Simplify right side
    2,723.35x = 3,168,692.06
  5. Step 5: Solve for x
    x = 3,168,692.06/2,723.35
  6. Step 6: Final answer
    x = 1,163.53

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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.