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Finding the Fourth Proportional to 3,097.12, 4,274.01 and 1,680.82

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Solution

The fourth proportional to 3,097.12, 4,274.01 and 1,680.82 is: 2,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.12 : 4,274.01 = 1,680.82 : x
  2. Step 2: Convert to fraction form
    3,097.12/4,274.01 = 1,680.82/x
  3. Step 3: Cross multiply
    3,097.12x = 4,274.01 × 1,680.82
  4. Step 4: Simplify right side
    3,097.12x = 7,183,841.49
  5. Step 5: Solve for x
    x = 7,183,841.49/3,097.12
  6. Step 6: Final answer
    x = 2,319.52

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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.