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Finding the Fourth Proportional to 2,313.40, 3,194.22 and 1,615.72

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Solution

The fourth proportional to 2,313.40, 3,194.22 and 1,615.72 is: 2,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.40 : 3,194.22 = 1,615.72 : x
  2. Step 2: Convert to fraction form
    2,313.40/3,194.22 = 1,615.72/x
  3. Step 3: Cross multiply
    2,313.40x = 3,194.22 × 1,615.72
  4. Step 4: Simplify right side
    2,313.40x = 5,160,965.14
  5. Step 5: Solve for x
    x = 5,160,965.14/2,313.40
  6. Step 6: Final answer
    x = 2,230.90

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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.