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Finding the Fourth Proportional to 2,817.84, 4,224.06 and 1,844.76

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Solution

The fourth proportional to 2,817.84, 4,224.06 and 1,844.76 is: 2,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.84 : 4,224.06 = 1,844.76 : x
  2. Step 2: Convert to fraction form
    2,817.84/4,224.06 = 1,844.76/x
  3. Step 3: Cross multiply
    2,817.84x = 4,224.06 × 1,844.76
  4. Step 4: Simplify right side
    2,817.84x = 7,792,376.93
  5. Step 5: Solve for x
    x = 7,792,376.93/2,817.84
  6. Step 6: Final answer
    x = 2,765.37

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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.