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Finding the Fourth Proportional to 3,076.74, 4,250.61 and 2,289.42

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Solution

The fourth proportional to 3,076.74, 4,250.61 and 2,289.42 is: 3,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.74 : 4,250.61 = 2,289.42 : x
  2. Step 2: Convert to fraction form
    3,076.74/4,250.61 = 2,289.42/x
  3. Step 3: Cross multiply
    3,076.74x = 4,250.61 × 2,289.42
  4. Step 4: Simplify right side
    3,076.74x = 9,731,431.55
  5. Step 5: Solve for x
    x = 9,731,431.55/3,076.74
  6. Step 6: Final answer
    x = 3,162.90

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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.