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Finding the Fourth Proportional to 2,283.96, 3,424.23 and 2,052.18

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Solution

The fourth proportional to 2,283.96, 3,424.23 and 2,052.18 is: 3,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.96 : 3,424.23 = 2,052.18 : x
  2. Step 2: Convert to fraction form
    2,283.96/3,424.23 = 2,052.18/x
  3. Step 3: Cross multiply
    2,283.96x = 3,424.23 × 2,052.18
  4. Step 4: Simplify right side
    2,283.96x = 7,027,136.32
  5. Step 5: Solve for x
    x = 7,027,136.32/2,283.96
  6. Step 6: Final answer
    x = 3,076.73

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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.