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Finding the Fourth Proportional to 2,821.43, 3,893.54 and 1,562.49

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Solution

The fourth proportional to 2,821.43, 3,893.54 and 1,562.49 is: 2,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.43 : 3,893.54 = 1,562.49 : x
  2. Step 2: Convert to fraction form
    2,821.43/3,893.54 = 1,562.49/x
  3. Step 3: Cross multiply
    2,821.43x = 3,893.54 × 1,562.49
  4. Step 4: Simplify right side
    2,821.43x = 6,083,609.50
  5. Step 5: Solve for x
    x = 6,083,609.50/2,821.43
  6. Step 6: Final answer
    x = 2,156.22

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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.