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Finding the Fourth Proportional to 1,425.94, 2,138.84 and 451.91

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Solution

The fourth proportional to 1,425.94, 2,138.84 and 451.91 is: 677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.94 : 2,138.84 = 451.91 : x
  2. Step 2: Convert to fraction form
    1,425.94/2,138.84 = 451.91/x
  3. Step 3: Cross multiply
    1,425.94x = 2,138.84 × 451.91
  4. Step 4: Simplify right side
    1,425.94x = 966,567.97
  5. Step 5: Solve for x
    x = 966,567.97/1,425.94
  6. Step 6: Final answer
    x = 677.85

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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.