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Finding the Fourth Proportional to 3,155, 4,732.56 and 1,103

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Solution

The fourth proportional to 3,155, 4,732.56 and 1,103 is: 1,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155 : 4,732.56 = 1,103 : x
  2. Step 2: Convert to fraction form
    3,155/4,732.56 = 1,103/x
  3. Step 3: Cross multiply
    3,155x = 4,732.56 × 1,103
  4. Step 4: Simplify right side
    3,155x = 5,220,013.68
  5. Step 5: Solve for x
    x = 5,220,013.68/3,155
  6. Step 6: Final answer
    x = 1,654.52

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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.