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Finding the Fourth Proportional to 2,516.62, 3,473.67 and 1,678.54

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Solution

The fourth proportional to 2,516.62, 3,473.67 and 1,678.54 is: 2,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.62 : 3,473.67 = 1,678.54 : x
  2. Step 2: Convert to fraction form
    2,516.62/3,473.67 = 1,678.54/x
  3. Step 3: Cross multiply
    2,516.62x = 3,473.67 × 1,678.54
  4. Step 4: Simplify right side
    2,516.62x = 5,830,694.04
  5. Step 5: Solve for x
    x = 5,830,694.04/2,516.62
  6. Step 6: Final answer
    x = 2,316.88

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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.