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Finding the Fourth Proportional to 3,076.77, 4,608.99 and 1,431.03

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Solution

The fourth proportional to 3,076.77, 4,608.99 and 1,431.03 is: 2,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.77 : 4,608.99 = 1,431.03 : x
  2. Step 2: Convert to fraction form
    3,076.77/4,608.99 = 1,431.03/x
  3. Step 3: Cross multiply
    3,076.77x = 4,608.99 × 1,431.03
  4. Step 4: Simplify right side
    3,076.77x = 6,595,602.96
  5. Step 5: Solve for x
    x = 6,595,602.96/3,076.77
  6. Step 6: Final answer
    x = 2,143.68

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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.