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Finding the Fourth Proportional to 4,451.69, 6,678.48 and 1,678.30

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Solution

The fourth proportional to 4,451.69, 6,678.48 and 1,678.30 is: 2,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.69 : 6,678.48 = 1,678.30 : x
  2. Step 2: Convert to fraction form
    4,451.69/6,678.48 = 1,678.30/x
  3. Step 3: Cross multiply
    4,451.69x = 6,678.48 × 1,678.30
  4. Step 4: Simplify right side
    4,451.69x = 11,208,492.98
  5. Step 5: Solve for x
    x = 11,208,492.98/4,451.69
  6. Step 6: Final answer
    x = 2,517.81

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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.