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Finding the Fourth Proportional to 1,425.84, 2,138.55 and 451.95

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Solution

The fourth proportional to 1,425.84, 2,138.55 and 451.95 is: 677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.84 : 2,138.55 = 451.95 : x
  2. Step 2: Convert to fraction form
    1,425.84/2,138.55 = 451.95/x
  3. Step 3: Cross multiply
    1,425.84x = 2,138.55 × 451.95
  4. Step 4: Simplify right side
    1,425.84x = 966,517.67
  5. Step 5: Solve for x
    x = 966,517.67/1,425.84
  6. Step 6: Final answer
    x = 677.86

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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.