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Finding the Fourth Proportional to 2,052.84, 2,833.56 and 1,462.44

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Solution

The fourth proportional to 2,052.84, 2,833.56 and 1,462.44 is: 2,018.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.84 : 2,833.56 = 1,462.44 : x
  2. Step 2: Convert to fraction form
    2,052.84/2,833.56 = 1,462.44/x
  3. Step 3: Cross multiply
    2,052.84x = 2,833.56 × 1,462.44
  4. Step 4: Simplify right side
    2,052.84x = 4,143,911.49
  5. Step 5: Solve for x
    x = 4,143,911.49/2,052.84
  6. Step 6: Final answer
    x = 2,018.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.