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Finding the Fourth Proportional to 1,884, 2,824.08 and 789

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Solution

The fourth proportional to 1,884, 2,824.08 and 789 is: 1,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884 : 2,824.08 = 789 : x
  2. Step 2: Convert to fraction form
    1,884/2,824.08 = 789/x
  3. Step 3: Cross multiply
    1,884x = 2,824.08 × 789
  4. Step 4: Simplify right side
    1,884x = 2,228,199.12
  5. Step 5: Solve for x
    x = 2,228,199.12/1,884
  6. Step 6: Final answer
    x = 1,182.70

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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.