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Finding the Fourth Proportional to 2,309.83, 3,187.14 and 1,314.73

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Solution

The fourth proportional to 2,309.83, 3,187.14 and 1,314.73 is: 1,814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.83 : 3,187.14 = 1,314.73 : x
  2. Step 2: Convert to fraction form
    2,309.83/3,187.14 = 1,314.73/x
  3. Step 3: Cross multiply
    2,309.83x = 3,187.14 × 1,314.73
  4. Step 4: Simplify right side
    2,309.83x = 4,190,228.57
  5. Step 5: Solve for x
    x = 4,190,228.57/2,309.83
  6. Step 6: Final answer
    x = 1,814.09

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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.