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Finding the Fourth Proportional to 2,104.64, 3,158.09 and 789.28

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Solution

The fourth proportional to 2,104.64, 3,158.09 and 789.28 is: 1,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.64 : 3,158.09 = 789.28 : x
  2. Step 2: Convert to fraction form
    2,104.64/3,158.09 = 789.28/x
  3. Step 3: Cross multiply
    2,104.64x = 3,158.09 × 789.28
  4. Step 4: Simplify right side
    2,104.64x = 2,492,605.43
  5. Step 5: Solve for x
    x = 2,492,605.43/2,104.64
  6. Step 6: Final answer
    x = 1,184.34

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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.