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Finding the Fourth Proportional to 2,723.28, 4,085.60 and 775.47

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Solution

The fourth proportional to 2,723.28, 4,085.60 and 775.47 is: 1,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.28 : 4,085.60 = 775.47 : x
  2. Step 2: Convert to fraction form
    2,723.28/4,085.60 = 775.47/x
  3. Step 3: Cross multiply
    2,723.28x = 4,085.60 × 775.47
  4. Step 4: Simplify right side
    2,723.28x = 3,168,260.23
  5. Step 5: Solve for x
    x = 3,168,260.23/2,723.28
  6. Step 6: Final answer
    x = 1,163.40

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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.