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Finding the Fourth Proportional to 2,467.52, 3,404.67 and 1,419.38

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Solution

The fourth proportional to 2,467.52, 3,404.67 and 1,419.38 is: 1,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.52 : 3,404.67 = 1,419.38 : x
  2. Step 2: Convert to fraction form
    2,467.52/3,404.67 = 1,419.38/x
  3. Step 3: Cross multiply
    2,467.52x = 3,404.67 × 1,419.38
  4. Step 4: Simplify right side
    2,467.52x = 4,832,520.50
  5. Step 5: Solve for x
    x = 4,832,520.50/2,467.52
  6. Step 6: Final answer
    x = 1,958.45

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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.