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Finding the Fourth Proportional to 4,153.60, 6,231.60 and 1,231.97

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Solution

The fourth proportional to 4,153.60, 6,231.60 and 1,231.97 is: 1,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.60 : 6,231.60 = 1,231.97 : x
  2. Step 2: Convert to fraction form
    4,153.60/6,231.60 = 1,231.97/x
  3. Step 3: Cross multiply
    4,153.60x = 6,231.60 × 1,231.97
  4. Step 4: Simplify right side
    4,153.60x = 7,677,138.09
  5. Step 5: Solve for x
    x = 7,677,138.09/4,153.60
  6. Step 6: Final answer
    x = 1,848.31

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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.