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Finding the Fourth Proportional to 3,077.58, 4,618.30 and 1,228.42

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Solution

The fourth proportional to 3,077.58, 4,618.30 and 1,228.42 is: 1,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.58 : 4,618.30 = 1,228.42 : x
  2. Step 2: Convert to fraction form
    3,077.58/4,618.30 = 1,228.42/x
  3. Step 3: Cross multiply
    3,077.58x = 4,618.30 × 1,228.42
  4. Step 4: Simplify right side
    3,077.58x = 5,673,212.09
  5. Step 5: Solve for x
    x = 5,673,212.09/3,077.58
  6. Step 6: Final answer
    x = 1,843.40

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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.