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Finding the Fourth Proportional to 2,722.84, 3,756.96 and 1,659.88

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Solution

The fourth proportional to 2,722.84, 3,756.96 and 1,659.88 is: 2,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.84 : 3,756.96 = 1,659.88 : x
  2. Step 2: Convert to fraction form
    2,722.84/3,756.96 = 1,659.88/x
  3. Step 3: Cross multiply
    2,722.84x = 3,756.96 × 1,659.88
  4. Step 4: Simplify right side
    2,722.84x = 6,236,102.76
  5. Step 5: Solve for x
    x = 6,236,102.76/2,722.84
  6. Step 6: Final answer
    x = 2,290.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.