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Finding the Fourth Proportional to 1,730.45, 2,593.23 and 1,144.49

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Solution

The fourth proportional to 1,730.45, 2,593.23 and 1,144.49 is: 1,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.45 : 2,593.23 = 1,144.49 : x
  2. Step 2: Convert to fraction form
    1,730.45/2,593.23 = 1,144.49/x
  3. Step 3: Cross multiply
    1,730.45x = 2,593.23 × 1,144.49
  4. Step 4: Simplify right side
    1,730.45x = 2,967,912.84
  5. Step 5: Solve for x
    x = 2,967,912.84/1,730.45
  6. Step 6: Final answer
    x = 1,715.12

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