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Finding the Fourth Proportional to 2,051.82, 2,832.68 and 1,354.41

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Solution

The fourth proportional to 2,051.82, 2,832.68 and 1,354.41 is: 1,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.82 : 2,832.68 = 1,354.41 : x
  2. Step 2: Convert to fraction form
    2,051.82/2,832.68 = 1,354.41/x
  3. Step 3: Cross multiply
    2,051.82x = 2,832.68 × 1,354.41
  4. Step 4: Simplify right side
    2,051.82x = 3,836,610.12
  5. Step 5: Solve for x
    x = 3,836,610.12/2,051.82
  6. Step 6: Final answer
    x = 1,869.86

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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.