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Finding the Fourth Proportional to 1,676.97, 2,314.35 and 1,014.36

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Solution

The fourth proportional to 1,676.97, 2,314.35 and 1,014.36 is: 1,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.97 : 2,314.35 = 1,014.36 : x
  2. Step 2: Convert to fraction form
    1,676.97/2,314.35 = 1,014.36/x
  3. Step 3: Cross multiply
    1,676.97x = 2,314.35 × 1,014.36
  4. Step 4: Simplify right side
    1,676.97x = 2,347,584.07
  5. Step 5: Solve for x
    x = 2,347,584.07/1,676.97
  6. Step 6: Final answer
    x = 1,399.90

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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.