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Finding the Fourth Proportional to 3,161.32, 4,362.72 and 1,835.76

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Solution

The fourth proportional to 3,161.32, 4,362.72 and 1,835.76 is: 2,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.32 : 4,362.72 = 1,835.76 : x
  2. Step 2: Convert to fraction form
    3,161.32/4,362.72 = 1,835.76/x
  3. Step 3: Cross multiply
    3,161.32x = 4,362.72 × 1,835.76
  4. Step 4: Simplify right side
    3,161.32x = 8,008,906.87
  5. Step 5: Solve for x
    x = 8,008,906.87/3,161.32
  6. Step 6: Final answer
    x = 2,533.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.