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Finding the Fourth Proportional to 1.89, 2.82 and 1.77

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Solution

The fourth proportional to 1.89, 2.82 and 1.77 is: 2.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.89 : 2.82 = 1.77 : x
  2. Step 2: Convert to fraction form
    1.89/2.82 = 1.77/x
  3. Step 3: Cross multiply
    1.89x = 2.82 × 1.77
  4. Step 4: Simplify right side
    1.89x = 4.99
  5. Step 5: Solve for x
    x = 4.99/1.89
  6. Step 6: Final answer
    x = 2.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.