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Finding the Fourth Proportional to 2,841.41, 4,257.30 and 2,015.57

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Solution

The fourth proportional to 2,841.41, 4,257.30 and 2,015.57 is: 3,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.41 : 4,257.30 = 2,015.57 : x
  2. Step 2: Convert to fraction form
    2,841.41/4,257.30 = 2,015.57/x
  3. Step 3: Cross multiply
    2,841.41x = 4,257.30 × 2,015.57
  4. Step 4: Simplify right side
    2,841.41x = 8,580,886.16
  5. Step 5: Solve for x
    x = 8,580,886.16/2,841.41
  6. Step 6: Final answer
    x = 3,019.94

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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.