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Finding the Fourth Proportional to 2,133.63, 3,202.88 and 1,269.77

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Solution

The fourth proportional to 2,133.63, 3,202.88 and 1,269.77 is: 1,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.63 : 3,202.88 = 1,269.77 : x
  2. Step 2: Convert to fraction form
    2,133.63/3,202.88 = 1,269.77/x
  3. Step 3: Cross multiply
    2,133.63x = 3,202.88 × 1,269.77
  4. Step 4: Simplify right side
    2,133.63x = 4,066,898.57
  5. Step 5: Solve for x
    x = 4,066,898.57/2,133.63
  6. Step 6: Final answer
    x = 1,906.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.