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Finding the Fourth Proportional to 2,817.76, 4,241.32 and 2,549.44

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Solution

The fourth proportional to 2,817.76, 4,241.32 and 2,549.44 is: 3,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.76 : 4,241.32 = 2,549.44 : x
  2. Step 2: Convert to fraction form
    2,817.76/4,241.32 = 2,549.44/x
  3. Step 3: Cross multiply
    2,817.76x = 4,241.32 × 2,549.44
  4. Step 4: Simplify right side
    2,817.76x = 10,812,990.86
  5. Step 5: Solve for x
    x = 10,812,990.86/2,817.76
  6. Step 6: Final answer
    x = 3,837.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.