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Finding the Fourth Proportional to 2,679.64, 4,018 and 1,217.98

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Solution

The fourth proportional to 2,679.64, 4,018 and 1,217.98 is: 1,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.64 : 4,018 = 1,217.98 : x
  2. Step 2: Convert to fraction form
    2,679.64/4,018 = 1,217.98/x
  3. Step 3: Cross multiply
    2,679.64x = 4,018 × 1,217.98
  4. Step 4: Simplify right side
    2,679.64x = 4,893,843.64
  5. Step 5: Solve for x
    x = 4,893,843.64/2,679.64
  6. Step 6: Final answer
    x = 1,826.31

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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.