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Finding the Fourth Proportional to 3,138.49, 4,329.88 and 2,194.03

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Solution

The fourth proportional to 3,138.49, 4,329.88 and 2,194.03 is: 3,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.49 : 4,329.88 = 2,194.03 : x
  2. Step 2: Convert to fraction form
    3,138.49/4,329.88 = 2,194.03/x
  3. Step 3: Cross multiply
    3,138.49x = 4,329.88 × 2,194.03
  4. Step 4: Simplify right side
    3,138.49x = 9,499,886.62
  5. Step 5: Solve for x
    x = 9,499,886.62/3,138.49
  6. Step 6: Final answer
    x = 3,026.90

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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.