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Finding the Fourth Proportional to 2,138.82, 2,951.73 and 2,070.78

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Solution

The fourth proportional to 2,138.82, 2,951.73 and 2,070.78 is: 2,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.82 : 2,951.73 = 2,070.78 : x
  2. Step 2: Convert to fraction form
    2,138.82/2,951.73 = 2,070.78/x
  3. Step 3: Cross multiply
    2,138.82x = 2,951.73 × 2,070.78
  4. Step 4: Simplify right side
    2,138.82x = 6,112,383.45
  5. Step 5: Solve for x
    x = 6,112,383.45/2,138.82
  6. Step 6: Final answer
    x = 2,857.83

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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.