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Finding the Fourth Proportional to 2,324.88, 3,487.68 and 1,027.44

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Solution

The fourth proportional to 2,324.88, 3,487.68 and 1,027.44 is: 1,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.88 : 3,487.68 = 1,027.44 : x
  2. Step 2: Convert to fraction form
    2,324.88/3,487.68 = 1,027.44/x
  3. Step 3: Cross multiply
    2,324.88x = 3,487.68 × 1,027.44
  4. Step 4: Simplify right side
    2,324.88x = 3,583,381.94
  5. Step 5: Solve for x
    x = 3,583,381.94/2,324.88
  6. Step 6: Final answer
    x = 1,541.32

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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.