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Finding the Fourth Proportional to 3,041.66, 4,198.14 and 1,921.88

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Solution

The fourth proportional to 3,041.66, 4,198.14 and 1,921.88 is: 2,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.66 : 4,198.14 = 1,921.88 : x
  2. Step 2: Convert to fraction form
    3,041.66/4,198.14 = 1,921.88/x
  3. Step 3: Cross multiply
    3,041.66x = 4,198.14 × 1,921.88
  4. Step 4: Simplify right side
    3,041.66x = 8,068,311.69
  5. Step 5: Solve for x
    x = 8,068,311.69/3,041.66
  6. Step 6: Final answer
    x = 2,652.61

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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.