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Finding the Fourth Proportional to 2.09, 3.12 and 1.74

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Solution

The fourth proportional to 2.09, 3.12 and 1.74 is: 2.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.09 : 3.12 = 1.74 : x
  2. Step 2: Convert to fraction form
    2.09/3.12 = 1.74/x
  3. Step 3: Cross multiply
    2.09x = 3.12 × 1.74
  4. Step 4: Simplify right side
    2.09x = 5.43
  5. Step 5: Solve for x
    x = 5.43/2.09
  6. Step 6: Final answer
    x = 2.60

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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.