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Finding the Fourth Proportional to 2,544.84, 3,817.66 and 1,084

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Solution

The fourth proportional to 2,544.84, 3,817.66 and 1,084 is: 1,626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.84 : 3,817.66 = 1,084 : x
  2. Step 2: Convert to fraction form
    2,544.84/3,817.66 = 1,084/x
  3. Step 3: Cross multiply
    2,544.84x = 3,817.66 × 1,084
  4. Step 4: Simplify right side
    2,544.84x = 4,138,343.44
  5. Step 5: Solve for x
    x = 4,138,343.44/2,544.84
  6. Step 6: Final answer
    x = 1,626.17

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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.