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Finding the Fourth Proportional to 3,103.89, 4,654.84 and 1,023.50

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Solution

The fourth proportional to 3,103.89, 4,654.84 and 1,023.50 is: 1,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.89 : 4,654.84 = 1,023.50 : x
  2. Step 2: Convert to fraction form
    3,103.89/4,654.84 = 1,023.50/x
  3. Step 3: Cross multiply
    3,103.89x = 4,654.84 × 1,023.50
  4. Step 4: Simplify right side
    3,103.89x = 4,764,241.66
  5. Step 5: Solve for x
    x = 4,764,241.66/3,103.89
  6. Step 6: Final answer
    x = 1,534.93

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Why These Related Problems?

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