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Finding the Fourth Proportional to 3,152.24, 4,731.24 and 2,419.44

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Solution

The fourth proportional to 3,152.24, 4,731.24 and 2,419.44 is: 3,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.24 : 4,731.24 = 2,419.44 : x
  2. Step 2: Convert to fraction form
    3,152.24/4,731.24 = 2,419.44/x
  3. Step 3: Cross multiply
    3,152.24x = 4,731.24 × 2,419.44
  4. Step 4: Simplify right side
    3,152.24x = 11,446,951.31
  5. Step 5: Solve for x
    x = 11,446,951.31/3,152.24
  6. Step 6: Final answer
    x = 3,631.37

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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.