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Finding the Fourth Proportional to 2,138.63, 3,194.91 and 1,392.17

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Solution

The fourth proportional to 2,138.63, 3,194.91 and 1,392.17 is: 2,079.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.63 : 3,194.91 = 1,392.17 : x
  2. Step 2: Convert to fraction form
    2,138.63/3,194.91 = 1,392.17/x
  3. Step 3: Cross multiply
    2,138.63x = 3,194.91 × 1,392.17
  4. Step 4: Simplify right side
    2,138.63x = 4,447,841.88
  5. Step 5: Solve for x
    x = 4,447,841.88/2,138.63
  6. Step 6: Final answer
    x = 2,079.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.