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Finding the Fourth Proportional to 1,974.82, 2,962.25 and 1,914.68

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Solution

The fourth proportional to 1,974.82, 2,962.25 and 1,914.68 is: 2,872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.82 : 2,962.25 = 1,914.68 : x
  2. Step 2: Convert to fraction form
    1,974.82/2,962.25 = 1,914.68/x
  3. Step 3: Cross multiply
    1,974.82x = 2,962.25 × 1,914.68
  4. Step 4: Simplify right side
    1,974.82x = 5,671,760.83
  5. Step 5: Solve for x
    x = 5,671,760.83/1,974.82
  6. Step 6: Final answer
    x = 2,872.04

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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.