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Finding the Fourth Proportional to 2,544.40, 3,511.44 and 1,549.48

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Solution

The fourth proportional to 2,544.40, 3,511.44 and 1,549.48 is: 2,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.40 : 3,511.44 = 1,549.48 : x
  2. Step 2: Convert to fraction form
    2,544.40/3,511.44 = 1,549.48/x
  3. Step 3: Cross multiply
    2,544.40x = 3,511.44 × 1,549.48
  4. Step 4: Simplify right side
    2,544.40x = 5,440,906.05
  5. Step 5: Solve for x
    x = 5,440,906.05/2,544.40
  6. Step 6: Final answer
    x = 2,138.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.