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Finding the Fourth Proportional to 2,138.77, 2,951.49 and 1,207.27

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Solution

The fourth proportional to 2,138.77, 2,951.49 and 1,207.27 is: 1,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.77 : 2,951.49 = 1,207.27 : x
  2. Step 2: Convert to fraction form
    2,138.77/2,951.49 = 1,207.27/x
  3. Step 3: Cross multiply
    2,138.77x = 2,951.49 × 1,207.27
  4. Step 4: Simplify right side
    2,138.77x = 3,563,253.55
  5. Step 5: Solve for x
    x = 3,563,253.55/2,138.77
  6. Step 6: Final answer
    x = 1,666.03

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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.