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Finding the Fourth Proportional to 3,076.71, 4,245.90 and 1,679.46

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Solution

The fourth proportional to 3,076.71, 4,245.90 and 1,679.46 is: 2,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.71 : 4,245.90 = 1,679.46 : x
  2. Step 2: Convert to fraction form
    3,076.71/4,245.90 = 1,679.46/x
  3. Step 3: Cross multiply
    3,076.71x = 4,245.90 × 1,679.46
  4. Step 4: Simplify right side
    3,076.71x = 7,130,819.21
  5. Step 5: Solve for x
    x = 7,130,819.21/3,076.71
  6. Step 6: Final answer
    x = 2,317.68

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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.