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Finding the Fourth Proportional to 1,884.93, 2,828.49 and 789.20

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Solution

The fourth proportional to 1,884.93, 2,828.49 and 789.20 is: 1,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.93 : 2,828.49 = 789.20 : x
  2. Step 2: Convert to fraction form
    1,884.93/2,828.49 = 789.20/x
  3. Step 3: Cross multiply
    1,884.93x = 2,828.49 × 789.20
  4. Step 4: Simplify right side
    1,884.93x = 2,232,244.31
  5. Step 5: Solve for x
    x = 2,232,244.31/1,884.93
  6. Step 6: Final answer
    x = 1,184.26

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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.