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Finding the Fourth Proportional to 2,383.00, 3,286.40 and 1,542.83

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Solution

The fourth proportional to 2,383.00, 3,286.40 and 1,542.83 is: 2,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.00 : 3,286.40 = 1,542.83 : x
  2. Step 2: Convert to fraction form
    2,383.00/3,286.40 = 1,542.83/x
  3. Step 3: Cross multiply
    2,383.00x = 3,286.40 × 1,542.83
  4. Step 4: Simplify right side
    2,383.00x = 5,070,332.37
  5. Step 5: Solve for x
    x = 5,070,332.37/2,383.00
  6. Step 6: Final answer
    x = 2,127.71

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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.