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Finding the Fourth Proportional to 1,425.16, 2,137.86 and 451

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Solution

The fourth proportional to 1,425.16, 2,137.86 and 451 is: 676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.16 : 2,137.86 = 451 : x
  2. Step 2: Convert to fraction form
    1,425.16/2,137.86 = 451/x
  3. Step 3: Cross multiply
    1,425.16x = 2,137.86 × 451
  4. Step 4: Simplify right side
    1,425.16x = 964,174.86
  5. Step 5: Solve for x
    x = 964,174.86/1,425.16
  6. Step 6: Final answer
    x = 676.54

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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.