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Finding the Fourth Proportional to 2,451.82, 3,678.33 and 1,219.81

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Solution

The fourth proportional to 2,451.82, 3,678.33 and 1,219.81 is: 1,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.82 : 3,678.33 = 1,219.81 : x
  2. Step 2: Convert to fraction form
    2,451.82/3,678.33 = 1,219.81/x
  3. Step 3: Cross multiply
    2,451.82x = 3,678.33 × 1,219.81
  4. Step 4: Simplify right side
    2,451.82x = 4,486,863.72
  5. Step 5: Solve for x
    x = 4,486,863.72/2,451.82
  6. Step 6: Final answer
    x = 1,830.01

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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.