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Finding the Fourth Proportional to 2,314.40, 3,194.08 and 1,319.68

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Solution

The fourth proportional to 2,314.40, 3,194.08 and 1,319.68 is: 1,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.40 : 3,194.08 = 1,319.68 : x
  2. Step 2: Convert to fraction form
    2,314.40/3,194.08 = 1,319.68/x
  3. Step 3: Cross multiply
    2,314.40x = 3,194.08 × 1,319.68
  4. Step 4: Simplify right side
    2,314.40x = 4,215,163.49
  5. Step 5: Solve for x
    x = 4,215,163.49/2,314.40
  6. Step 6: Final answer
    x = 1,821.28

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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.