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Finding the Fourth Proportional to 1,678.23, 2,517.13 and 445.72

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Solution

The fourth proportional to 1,678.23, 2,517.13 and 445.72 is: 668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.23 : 2,517.13 = 445.72 : x
  2. Step 2: Convert to fraction form
    1,678.23/2,517.13 = 445.72/x
  3. Step 3: Cross multiply
    1,678.23x = 2,517.13 × 445.72
  4. Step 4: Simplify right side
    1,678.23x = 1,121,935.18
  5. Step 5: Solve for x
    x = 1,121,935.18/1,678.23
  6. Step 6: Final answer
    x = 668.52

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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.