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Finding the Fourth Proportional to 3,431.41, 4,735.10 and 2,015.16

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Solution

The fourth proportional to 3,431.41, 4,735.10 and 2,015.16 is: 2,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.41 : 4,735.10 = 2,015.16 : x
  2. Step 2: Convert to fraction form
    3,431.41/4,735.10 = 2,015.16/x
  3. Step 3: Cross multiply
    3,431.41x = 4,735.10 × 2,015.16
  4. Step 4: Simplify right side
    3,431.41x = 9,541,960.44
  5. Step 5: Solve for x
    x = 9,541,960.44/3,431.41
  6. Step 6: Final answer
    x = 2,780.77

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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.