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Finding the Fourth Proportional to 2,289.52, 3,433.60 and 1,193.32

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Solution

The fourth proportional to 2,289.52, 3,433.60 and 1,193.32 is: 1,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.52 : 3,433.60 = 1,193.32 : x
  2. Step 2: Convert to fraction form
    2,289.52/3,433.60 = 1,193.32/x
  3. Step 3: Cross multiply
    2,289.52x = 3,433.60 × 1,193.32
  4. Step 4: Simplify right side
    2,289.52x = 4,097,383.55
  5. Step 5: Solve for x
    x = 4,097,383.55/2,289.52
  6. Step 6: Final answer
    x = 1,789.63

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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.