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Finding the Fourth Proportional to 2,837.75, 4,252.92 and 1,449.92

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Solution

The fourth proportional to 2,837.75, 4,252.92 and 1,449.92 is: 2,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.75 : 4,252.92 = 1,449.92 : x
  2. Step 2: Convert to fraction form
    2,837.75/4,252.92 = 1,449.92/x
  3. Step 3: Cross multiply
    2,837.75x = 4,252.92 × 1,449.92
  4. Step 4: Simplify right side
    2,837.75x = 6,166,372.50
  5. Step 5: Solve for x
    x = 6,166,372.50/2,837.75
  6. Step 6: Final answer
    x = 2,172.98

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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.