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Finding the Fourth Proportional to 2,138.63, 2,951.30 and 1,207.13

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Solution

The fourth proportional to 2,138.63, 2,951.30 and 1,207.13 is: 1,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.63 : 2,951.30 = 1,207.13 : x
  2. Step 2: Convert to fraction form
    2,138.63/2,951.30 = 1,207.13/x
  3. Step 3: Cross multiply
    2,138.63x = 2,951.30 × 1,207.13
  4. Step 4: Simplify right side
    2,138.63x = 3,562,591.03
  5. Step 5: Solve for x
    x = 3,562,591.03/2,138.63
  6. Step 6: Final answer
    x = 1,665.83

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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.