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Finding the Fourth Proportional to 1,678.14, 2,516.97 and 445.56

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Solution

The fourth proportional to 1,678.14, 2,516.97 and 445.56 is: 668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.14 : 2,516.97 = 445.56 : x
  2. Step 2: Convert to fraction form
    1,678.14/2,516.97 = 445.56/x
  3. Step 3: Cross multiply
    1,678.14x = 2,516.97 × 445.56
  4. Step 4: Simplify right side
    1,678.14x = 1,121,461.15
  5. Step 5: Solve for x
    x = 1,121,461.15/1,678.14
  6. Step 6: Final answer
    x = 668.28

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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.