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Finding the Fourth Proportional to 2,773.89, 3,825.36 and 1,778.40

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Solution

The fourth proportional to 2,773.89, 3,825.36 and 1,778.40 is: 2,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.89 : 3,825.36 = 1,778.40 : x
  2. Step 2: Convert to fraction form
    2,773.89/3,825.36 = 1,778.40/x
  3. Step 3: Cross multiply
    2,773.89x = 3,825.36 × 1,778.40
  4. Step 4: Simplify right side
    2,773.89x = 6,803,020.22
  5. Step 5: Solve for x
    x = 6,803,020.22/2,773.89
  6. Step 6: Final answer
    x = 2,452.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.