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Finding the Fourth Proportional to 2,138.80, 2,951.36 and 1,394.18

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Solution

The fourth proportional to 2,138.80, 2,951.36 and 1,394.18 is: 1,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.80 : 2,951.36 = 1,394.18 : x
  2. Step 2: Convert to fraction form
    2,138.80/2,951.36 = 1,394.18/x
  3. Step 3: Cross multiply
    2,138.80x = 2,951.36 × 1,394.18
  4. Step 4: Simplify right side
    2,138.80x = 4,114,727.08
  5. Step 5: Solve for x
    x = 4,114,727.08/2,138.80
  6. Step 6: Final answer
    x = 1,923.85

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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.