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Finding the Fourth Proportional to 1,425.05, 2,137.46 and 451.01

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Solution

The fourth proportional to 1,425.05, 2,137.46 and 451.01 is: 676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.05 : 2,137.46 = 451.01 : x
  2. Step 2: Convert to fraction form
    1,425.05/2,137.46 = 451.01/x
  3. Step 3: Cross multiply
    1,425.05x = 2,137.46 × 451.01
  4. Step 4: Simplify right side
    1,425.05x = 964,013.58
  5. Step 5: Solve for x
    x = 964,013.58/1,425.05
  6. Step 6: Final answer
    x = 676.48

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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.