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Finding the Fourth Proportional to 2.89, 4.32 and 1.89

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Solution

The fourth proportional to 2.89, 4.32 and 1.89 is: 2.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.89 : 4.32 = 1.89 : x
  2. Step 2: Convert to fraction form
    2.89/4.32 = 1.89/x
  3. Step 3: Cross multiply
    2.89x = 4.32 × 1.89
  4. Step 4: Simplify right side
    2.89x = 8.14
  5. Step 5: Solve for x
    x = 8.14/2.89
  6. Step 6: Final answer
    x = 2.82

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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.