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Finding the Fourth Proportional to 2,138.67, 2,951.28 and 1,207.17

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Solution

The fourth proportional to 2,138.67, 2,951.28 and 1,207.17 is: 1,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.67 : 2,951.28 = 1,207.17 : x
  2. Step 2: Convert to fraction form
    2,138.67/2,951.28 = 1,207.17/x
  3. Step 3: Cross multiply
    2,138.67x = 2,951.28 × 1,207.17
  4. Step 4: Simplify right side
    2,138.67x = 3,562,696.68
  5. Step 5: Solve for x
    x = 3,562,696.68/2,138.67
  6. Step 6: Final answer
    x = 1,665.85

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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.