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Finding the Fourth Proportional to 1,666.94, 2,498.31 and 789.44

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Solution

The fourth proportional to 1,666.94, 2,498.31 and 789.44 is: 1,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.94 : 2,498.31 = 789.44 : x
  2. Step 2: Convert to fraction form
    1,666.94/2,498.31 = 789.44/x
  3. Step 3: Cross multiply
    1,666.94x = 2,498.31 × 789.44
  4. Step 4: Simplify right side
    1,666.94x = 1,972,253.35
  5. Step 5: Solve for x
    x = 1,972,253.35/1,666.94
  6. Step 6: Final answer
    x = 1,183.16

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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.