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Finding the Fourth Proportional to 3,410.78, 5,115.20 and 1,462.50

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Solution

The fourth proportional to 3,410.78, 5,115.20 and 1,462.50 is: 2,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.78 : 5,115.20 = 1,462.50 : x
  2. Step 2: Convert to fraction form
    3,410.78/5,115.20 = 1,462.50/x
  3. Step 3: Cross multiply
    3,410.78x = 5,115.20 × 1,462.50
  4. Step 4: Simplify right side
    3,410.78x = 7,480,972.69
  5. Step 5: Solve for x
    x = 7,480,972.69/3,410.78
  6. Step 6: Final answer
    x = 2,193.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.