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Finding the Fourth Proportional to 2,431.08, 3,644.82 and 786.72

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Solution

The fourth proportional to 2,431.08, 3,644.82 and 786.72 is: 1,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.08 : 3,644.82 = 786.72 : x
  2. Step 2: Convert to fraction form
    2,431.08/3,644.82 = 786.72/x
  3. Step 3: Cross multiply
    2,431.08x = 3,644.82 × 786.72
  4. Step 4: Simplify right side
    2,431.08x = 2,867,452.79
  5. Step 5: Solve for x
    x = 2,867,452.79/2,431.08
  6. Step 6: Final answer
    x = 1,179.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.