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Finding the Fourth Proportional to 1,627.50, 2,443.99 and 1,614.75

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Solution

The fourth proportional to 1,627.50, 2,443.99 and 1,614.75 is: 2,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.50 : 2,443.99 = 1,614.75 : x
  2. Step 2: Convert to fraction form
    1,627.50/2,443.99 = 1,614.75/x
  3. Step 3: Cross multiply
    1,627.50x = 2,443.99 × 1,614.75
  4. Step 4: Simplify right side
    1,627.50x = 3,946,432.85
  5. Step 5: Solve for x
    x = 3,946,432.85/1,627.50
  6. Step 6: Final answer
    x = 2,424.84

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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.