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Finding the Fourth Proportional to 2.60, 3.90 and 1.71

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Solution

The fourth proportional to 2.60, 3.90 and 1.71 is: 2.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.60 : 3.90 = 1.71 : x
  2. Step 2: Convert to fraction form
    2.60/3.90 = 1.71/x
  3. Step 3: Cross multiply
    2.60x = 3.90 × 1.71
  4. Step 4: Simplify right side
    2.60x = 6.64
  5. Step 5: Solve for x
    x = 6.64/2.60
  6. Step 6: Final answer
    x = 2.56

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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.