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Finding the Fourth Proportional to 2,138.14, 2,950.60 and 1,194

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Solution

The fourth proportional to 2,138.14, 2,950.60 and 1,194 is: 1,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.14 : 2,950.60 = 1,194 : x
  2. Step 2: Convert to fraction form
    2,138.14/2,950.60 = 1,194/x
  3. Step 3: Cross multiply
    2,138.14x = 2,950.60 × 1,194
  4. Step 4: Simplify right side
    2,138.14x = 3,523,016.40
  5. Step 5: Solve for x
    x = 3,523,016.40/2,138.14
  6. Step 6: Final answer
    x = 1,647.70

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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.