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Finding the Fourth Proportional to 1,644.72, 2,467.08 and 1,462.50

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Solution

The fourth proportional to 1,644.72, 2,467.08 and 1,462.50 is: 2,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.72 : 2,467.08 = 1,462.50 : x
  2. Step 2: Convert to fraction form
    1,644.72/2,467.08 = 1,462.50/x
  3. Step 3: Cross multiply
    1,644.72x = 2,467.08 × 1,462.50
  4. Step 4: Simplify right side
    1,644.72x = 3,608,104.50
  5. Step 5: Solve for x
    x = 3,608,104.50/1,644.72
  6. Step 6: Final answer
    x = 2,193.75

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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.