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Finding the Fourth Proportional to 2,314.84, 3,194.58 and 1,429.96

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Solution

The fourth proportional to 2,314.84, 3,194.58 and 1,429.96 is: 1,973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.84 : 3,194.58 = 1,429.96 : x
  2. Step 2: Convert to fraction form
    2,314.84/3,194.58 = 1,429.96/x
  3. Step 3: Cross multiply
    2,314.84x = 3,194.58 × 1,429.96
  4. Step 4: Simplify right side
    2,314.84x = 4,568,121.62
  5. Step 5: Solve for x
    x = 4,568,121.62/2,314.84
  6. Step 6: Final answer
    x = 1,973.41

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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.