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Finding the Fourth Proportional to 4,451.09, 6,678.18 and 1,678.56

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Solution

The fourth proportional to 4,451.09, 6,678.18 and 1,678.56 is: 2,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.09 : 6,678.18 = 1,678.56 : x
  2. Step 2: Convert to fraction form
    4,451.09/6,678.18 = 1,678.56/x
  3. Step 3: Cross multiply
    4,451.09x = 6,678.18 × 1,678.56
  4. Step 4: Simplify right side
    4,451.09x = 11,209,719.56
  5. Step 5: Solve for x
    x = 11,209,719.56/4,451.09
  6. Step 6: Final answer
    x = 2,518.42

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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.