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Finding the Fourth Proportional to 2,730.48, 4,097.75 and 1,270.65

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Solution

The fourth proportional to 2,730.48, 4,097.75 and 1,270.65 is: 1,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.48 : 4,097.75 = 1,270.65 : x
  2. Step 2: Convert to fraction form
    2,730.48/4,097.75 = 1,270.65/x
  3. Step 3: Cross multiply
    2,730.48x = 4,097.75 × 1,270.65
  4. Step 4: Simplify right side
    2,730.48x = 5,206,799.68
  5. Step 5: Solve for x
    x = 5,206,799.68/2,730.48
  6. Step 6: Final answer
    x = 1,906.92

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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.