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Finding the Fourth Proportional to 2, 2.99 and 1.83

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Solution

The fourth proportional to 2, 2.99 and 1.83 is: 2.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2 : 2.99 = 1.83 : x
  2. Step 2: Convert to fraction form
    2/2.99 = 1.83/x
  3. Step 3: Cross multiply
    2x = 2.99 × 1.83
  4. Step 4: Simplify right side
    2x = 5.47
  5. Step 5: Solve for x
    x = 5.47/2
  6. Step 6: Final answer
    x = 2.74

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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.