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Finding the Fourth Proportional to 1,424.97, 2,137.76 and 451.15

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Solution

The fourth proportional to 1,424.97, 2,137.76 and 451.15 is: 676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.97 : 2,137.76 = 451.15 : x
  2. Step 2: Convert to fraction form
    1,424.97/2,137.76 = 451.15/x
  3. Step 3: Cross multiply
    1,424.97x = 2,137.76 × 451.15
  4. Step 4: Simplify right side
    1,424.97x = 964,450.42
  5. Step 5: Solve for x
    x = 964,450.42/1,424.97
  6. Step 6: Final answer
    x = 676.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.