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Finding the Fourth Proportional to 4.56, 6.84 and 2.78

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Solution

The fourth proportional to 4.56, 6.84 and 2.78 is: 4.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.56 : 6.84 = 2.78 : x
  2. Step 2: Convert to fraction form
    4.56/6.84 = 2.78/x
  3. Step 3: Cross multiply
    4.56x = 6.84 × 2.78
  4. Step 4: Simplify right side
    4.56x = 19.02
  5. Step 5: Solve for x
    x = 19.02/4.56
  6. Step 6: Final answer
    x = 4.17

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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.