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Finding the Fourth Proportional to 2,562.42, 3,843.45 and 1,463.34

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Solution

The fourth proportional to 2,562.42, 3,843.45 and 1,463.34 is: 2,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.42 : 3,843.45 = 1,463.34 : x
  2. Step 2: Convert to fraction form
    2,562.42/3,843.45 = 1,463.34/x
  3. Step 3: Cross multiply
    2,562.42x = 3,843.45 × 1,463.34
  4. Step 4: Simplify right side
    2,562.42x = 5,624,274.12
  5. Step 5: Solve for x
    x = 5,624,274.12/2,562.42
  6. Step 6: Final answer
    x = 2,194.91

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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.