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Finding the Fourth Proportional to 1,676.85, 2,497.56 and 1,589.03

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Solution

The fourth proportional to 1,676.85, 2,497.56 and 1,589.03 is: 2,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.85 : 2,497.56 = 1,589.03 : x
  2. Step 2: Convert to fraction form
    1,676.85/2,497.56 = 1,589.03/x
  3. Step 3: Cross multiply
    1,676.85x = 2,497.56 × 1,589.03
  4. Step 4: Simplify right side
    1,676.85x = 3,968,677.33
  5. Step 5: Solve for x
    x = 3,968,677.33/1,676.85
  6. Step 6: Final answer
    x = 2,366.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.