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Finding the Fourth Proportional to 3,078.84, 4,619.16 and 1,228.89

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Solution

The fourth proportional to 3,078.84, 4,619.16 and 1,228.89 is: 1,843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.84 : 4,619.16 = 1,228.89 : x
  2. Step 2: Convert to fraction form
    3,078.84/4,619.16 = 1,228.89/x
  3. Step 3: Cross multiply
    3,078.84x = 4,619.16 × 1,228.89
  4. Step 4: Simplify right side
    3,078.84x = 5,676,439.53
  5. Step 5: Solve for x
    x = 5,676,439.53/3,078.84
  6. Step 6: Final answer
    x = 1,843.69

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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.