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Finding the Fourth Proportional to 3,181.40, 4,771.56 and 872.36

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Solution

The fourth proportional to 3,181.40, 4,771.56 and 872.36 is: 1,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.40 : 4,771.56 = 872.36 : x
  2. Step 2: Convert to fraction form
    3,181.40/4,771.56 = 872.36/x
  3. Step 3: Cross multiply
    3,181.40x = 4,771.56 × 872.36
  4. Step 4: Simplify right side
    3,181.40x = 4,162,518.08
  5. Step 5: Solve for x
    x = 4,162,518.08/3,181.40
  6. Step 6: Final answer
    x = 1,308.39

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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.