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Finding the Fourth Proportional to 2,039.54, 3,059.38 and 723.43

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Solution

The fourth proportional to 2,039.54, 3,059.38 and 723.43 is: 1,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.54 : 3,059.38 = 723.43 : x
  2. Step 2: Convert to fraction form
    2,039.54/3,059.38 = 723.43/x
  3. Step 3: Cross multiply
    2,039.54x = 3,059.38 × 723.43
  4. Step 4: Simplify right side
    2,039.54x = 2,213,247.27
  5. Step 5: Solve for x
    x = 2,213,247.27/2,039.54
  6. Step 6: Final answer
    x = 1,085.17

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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.