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Finding the Fourth Proportional to 2,544.90, 3,817.35 and 1,968.18

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Solution

The fourth proportional to 2,544.90, 3,817.35 and 1,968.18 is: 2,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.90 : 3,817.35 = 1,968.18 : x
  2. Step 2: Convert to fraction form
    2,544.90/3,817.35 = 1,968.18/x
  3. Step 3: Cross multiply
    2,544.90x = 3,817.35 × 1,968.18
  4. Step 4: Simplify right side
    2,544.90x = 7,513,231.92
  5. Step 5: Solve for x
    x = 7,513,231.92/2,544.90
  6. Step 6: Final answer
    x = 2,952.27

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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.