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Finding the Fourth Proportional to 4.60, 6.89 and 2.82

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Solution

The fourth proportional to 4.60, 6.89 and 2.82 is: 4.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.60 : 6.89 = 2.82 : x
  2. Step 2: Convert to fraction form
    4.60/6.89 = 2.82/x
  3. Step 3: Cross multiply
    4.60x = 6.89 × 2.82
  4. Step 4: Simplify right side
    4.60x = 19.43
  5. Step 5: Solve for x
    x = 19.43/4.60
  6. Step 6: Final answer
    x = 4.22

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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.