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Finding the Fourth Proportional to 2,974.96, 4,461.16 and 1,027.36

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Solution

The fourth proportional to 2,974.96, 4,461.16 and 1,027.36 is: 1,540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.96 : 4,461.16 = 1,027.36 : x
  2. Step 2: Convert to fraction form
    2,974.96/4,461.16 = 1,027.36/x
  3. Step 3: Cross multiply
    2,974.96x = 4,461.16 × 1,027.36
  4. Step 4: Simplify right side
    2,974.96x = 4,583,217.34
  5. Step 5: Solve for x
    x = 4,583,217.34/2,974.96
  6. Step 6: Final answer
    x = 1,540.60

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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.