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Finding the Fourth Proportional to 2,974.84, 4,462.94 and 1,027.04

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Solution

The fourth proportional to 2,974.84, 4,462.94 and 1,027.04 is: 1,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.84 : 4,462.94 = 1,027.04 : x
  2. Step 2: Convert to fraction form
    2,974.84/4,462.94 = 1,027.04/x
  3. Step 3: Cross multiply
    2,974.84x = 4,462.94 × 1,027.04
  4. Step 4: Simplify right side
    2,974.84x = 4,583,590.45
  5. Step 5: Solve for x
    x = 4,583,590.45/2,974.84
  6. Step 6: Final answer
    x = 1,540.79

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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.