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Finding the Fourth Proportional to 2,731.52, 4,097.52 and 1,171.60

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Solution

The fourth proportional to 2,731.52, 4,097.52 and 1,171.60 is: 1,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.52 : 4,097.52 = 1,171.60 : x
  2. Step 2: Convert to fraction form
    2,731.52/4,097.52 = 1,171.60/x
  3. Step 3: Cross multiply
    2,731.52x = 4,097.52 × 1,171.60
  4. Step 4: Simplify right side
    2,731.52x = 4,800,644.19
  5. Step 5: Solve for x
    x = 4,800,644.19/2,731.52
  6. Step 6: Final answer
    x = 1,757.50

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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.