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Finding the Fourth Proportional to 2,313.44, 3,469.65 and 1,079.69

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Solution

The fourth proportional to 2,313.44, 3,469.65 and 1,079.69 is: 1,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.44 : 3,469.65 = 1,079.69 : x
  2. Step 2: Convert to fraction form
    2,313.44/3,469.65 = 1,079.69/x
  3. Step 3: Cross multiply
    2,313.44x = 3,469.65 × 1,079.69
  4. Step 4: Simplify right side
    2,313.44x = 3,746,146.41
  5. Step 5: Solve for x
    x = 3,746,146.41/2,313.44
  6. Step 6: Final answer
    x = 1,619.30

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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.