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Finding the Fourth Proportional to 2,544.78, 3,511.53 and 1,425.75

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Solution

The fourth proportional to 2,544.78, 3,511.53 and 1,425.75 is: 1,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.78 : 3,511.53 = 1,425.75 : x
  2. Step 2: Convert to fraction form
    2,544.78/3,511.53 = 1,425.75/x
  3. Step 3: Cross multiply
    2,544.78x = 3,511.53 × 1,425.75
  4. Step 4: Simplify right side
    2,544.78x = 5,006,563.90
  5. Step 5: Solve for x
    x = 5,006,563.90/2,544.78
  6. Step 6: Final answer
    x = 1,967.39

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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.