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Finding the Fourth Proportional to 2,309.67, 3,187.42 and 1,314.79

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Solution

The fourth proportional to 2,309.67, 3,187.42 and 1,314.79 is: 1,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.67 : 3,187.42 = 1,314.79 : x
  2. Step 2: Convert to fraction form
    2,309.67/3,187.42 = 1,314.79/x
  3. Step 3: Cross multiply
    2,309.67x = 3,187.42 × 1,314.79
  4. Step 4: Simplify right side
    2,309.67x = 4,190,776.69
  5. Step 5: Solve for x
    x = 4,190,776.69/2,309.67
  6. Step 6: Final answer
    x = 1,814.45

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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.