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Finding the Fourth Proportional to 2,039.56, 3,059.66 and 723.74

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Solution

The fourth proportional to 2,039.56, 3,059.66 and 723.74 is: 1,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.56 : 3,059.66 = 723.74 : x
  2. Step 2: Convert to fraction form
    2,039.56/3,059.66 = 723.74/x
  3. Step 3: Cross multiply
    2,039.56x = 3,059.66 × 723.74
  4. Step 4: Simplify right side
    2,039.56x = 2,214,410.69
  5. Step 5: Solve for x
    x = 2,214,410.69/2,039.56
  6. Step 6: Final answer
    x = 1,085.73

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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.