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Finding the Fourth Proportional to 1,676.43, 2,314.44 and 1,457.73

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Solution

The fourth proportional to 1,676.43, 2,314.44 and 1,457.73 is: 2,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.43 : 2,314.44 = 1,457.73 : x
  2. Step 2: Convert to fraction form
    1,676.43/2,314.44 = 1,457.73/x
  3. Step 3: Cross multiply
    1,676.43x = 2,314.44 × 1,457.73
  4. Step 4: Simplify right side
    1,676.43x = 3,373,828.62
  5. Step 5: Solve for x
    x = 3,373,828.62/1,676.43
  6. Step 6: Final answer
    x = 2,012.51

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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.