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Finding the Fourth Proportional to 2,383.83, 3,564.81 and 2,267.19

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Solution

The fourth proportional to 2,383.83, 3,564.81 and 2,267.19 is: 3,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.83 : 3,564.81 = 2,267.19 : x
  2. Step 2: Convert to fraction form
    2,383.83/3,564.81 = 2,267.19/x
  3. Step 3: Cross multiply
    2,383.83x = 3,564.81 × 2,267.19
  4. Step 4: Simplify right side
    2,383.83x = 8,082,101.58
  5. Step 5: Solve for x
    x = 8,082,101.58/2,383.83
  6. Step 6: Final answer
    x = 3,390.39

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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.