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Finding the Fourth Proportional to 1,729, 2,593.50 and 1,219.24

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Solution

The fourth proportional to 1,729, 2,593.50 and 1,219.24 is: 1,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729 : 2,593.50 = 1,219.24 : x
  2. Step 2: Convert to fraction form
    1,729/2,593.50 = 1,219.24/x
  3. Step 3: Cross multiply
    1,729x = 2,593.50 × 1,219.24
  4. Step 4: Simplify right side
    1,729x = 3,162,098.94
  5. Step 5: Solve for x
    x = 3,162,098.94/1,729
  6. Step 6: Final answer
    x = 1,828.86

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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.