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Finding the Fourth Proportional to 2,327.88, 3,492.54 and 789

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Solution

The fourth proportional to 2,327.88, 3,492.54 and 789 is: 1,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.88 : 3,492.54 = 789 : x
  2. Step 2: Convert to fraction form
    2,327.88/3,492.54 = 789/x
  3. Step 3: Cross multiply
    2,327.88x = 3,492.54 × 789
  4. Step 4: Simplify right side
    2,327.88x = 2,755,614.06
  5. Step 5: Solve for x
    x = 2,755,614.06/2,327.88
  6. Step 6: Final answer
    x = 1,183.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.