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Finding the Fourth Proportional to 3,103.54, 4,654.76 and 1,023.57

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Solution

The fourth proportional to 3,103.54, 4,654.76 and 1,023.57 is: 1,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.54 : 4,654.76 = 1,023.57 : x
  2. Step 2: Convert to fraction form
    3,103.54/4,654.76 = 1,023.57/x
  3. Step 3: Cross multiply
    3,103.54x = 4,654.76 × 1,023.57
  4. Step 4: Simplify right side
    3,103.54x = 4,764,467.58
  5. Step 5: Solve for x
    x = 4,764,467.58/3,103.54
  6. Step 6: Final answer
    x = 1,535.17

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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.