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Finding the Fourth Proportional to 3,104.36, 4,654.06 and 1,542.68

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Solution

The fourth proportional to 3,104.36, 4,654.06 and 1,542.68 is: 2,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.36 : 4,654.06 = 1,542.68 : x
  2. Step 2: Convert to fraction form
    3,104.36/4,654.06 = 1,542.68/x
  3. Step 3: Cross multiply
    3,104.36x = 4,654.06 × 1,542.68
  4. Step 4: Simplify right side
    3,104.36x = 7,179,725.28
  5. Step 5: Solve for x
    x = 7,179,725.28/3,104.36
  6. Step 6: Final answer
    x = 2,312.79

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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.