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Finding the Fourth Proportional to 3,097.80, 4,273.90 and 1,770.55

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Solution

The fourth proportional to 3,097.80, 4,273.90 and 1,770.55 is: 2,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.80 : 4,273.90 = 1,770.55 : x
  2. Step 2: Convert to fraction form
    3,097.80/4,273.90 = 1,770.55/x
  3. Step 3: Cross multiply
    3,097.80x = 4,273.90 × 1,770.55
  4. Step 4: Simplify right side
    3,097.80x = 7,567,153.65
  5. Step 5: Solve for x
    x = 7,567,153.65/3,097.80
  6. Step 6: Final answer
    x = 2,442.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.