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Finding the Fourth Proportional to 1,678.18, 2,517.17 and 445.63

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Solution

The fourth proportional to 1,678.18, 2,517.17 and 445.63 is: 668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.18 : 2,517.17 = 445.63 : x
  2. Step 2: Convert to fraction form
    1,678.18/2,517.17 = 445.63/x
  3. Step 3: Cross multiply
    1,678.18x = 2,517.17 × 445.63
  4. Step 4: Simplify right side
    1,678.18x = 1,121,726.47
  5. Step 5: Solve for x
    x = 1,121,726.47/1,678.18
  6. Step 6: Final answer
    x = 668.42

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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.