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Finding the Fourth Proportional to 3,077.57, 4,616.36 and 1,228.84

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Solution

The fourth proportional to 3,077.57, 4,616.36 and 1,228.84 is: 1,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.57 : 4,616.36 = 1,228.84 : x
  2. Step 2: Convert to fraction form
    3,077.57/4,616.36 = 1,228.84/x
  3. Step 3: Cross multiply
    3,077.57x = 4,616.36 × 1,228.84
  4. Step 4: Simplify right side
    3,077.57x = 5,672,747.81
  5. Step 5: Solve for x
    x = 5,672,747.81/3,077.57
  6. Step 6: Final answer
    x = 1,843.26

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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.