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Finding the Fourth Proportional to 3,106.69, 4,287.23 and 1,709.44

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Solution

The fourth proportional to 3,106.69, 4,287.23 and 1,709.44 is: 2,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.69 : 4,287.23 = 1,709.44 : x
  2. Step 2: Convert to fraction form
    3,106.69/4,287.23 = 1,709.44/x
  3. Step 3: Cross multiply
    3,106.69x = 4,287.23 × 1,709.44
  4. Step 4: Simplify right side
    3,106.69x = 7,328,749.60
  5. Step 5: Solve for x
    x = 7,328,749.60/3,106.69
  6. Step 6: Final answer
    x = 2,359.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.