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Finding the Fourth Proportional to 2.32, 3.47 and 1.65

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Solution

The fourth proportional to 2.32, 3.47 and 1.65 is: 2.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.32 : 3.47 = 1.65 : x
  2. Step 2: Convert to fraction form
    2.32/3.47 = 1.65/x
  3. Step 3: Cross multiply
    2.32x = 3.47 × 1.65
  4. Step 4: Simplify right side
    2.32x = 5.74
  5. Step 5: Solve for x
    x = 5.74/2.32
  6. Step 6: Final answer
    x = 2.47

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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.