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Finding the Fourth Proportional to 2,714.31, 4,059.01 and 2,021.46

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Solution

The fourth proportional to 2,714.31, 4,059.01 and 2,021.46 is: 3,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.31 : 4,059.01 = 2,021.46 : x
  2. Step 2: Convert to fraction form
    2,714.31/4,059.01 = 2,021.46/x
  3. Step 3: Cross multiply
    2,714.31x = 4,059.01 × 2,021.46
  4. Step 4: Simplify right side
    2,714.31x = 8,205,113.66
  5. Step 5: Solve for x
    x = 8,205,113.66/2,714.31
  6. Step 6: Final answer
    x = 3,022.91

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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.