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Finding the Fourth Proportional to 3,422.60, 5,133.90 and 1,232

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Solution

The fourth proportional to 3,422.60, 5,133.90 and 1,232 is: 1,848

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.60 : 5,133.90 = 1,232 : x
  2. Step 2: Convert to fraction form
    3,422.60/5,133.90 = 1,232/x
  3. Step 3: Cross multiply
    3,422.60x = 5,133.90 × 1,232
  4. Step 4: Simplify right side
    3,422.60x = 6,324,964.80
  5. Step 5: Solve for x
    x = 6,324,964.80/3,422.60
  6. Step 6: Final answer
    x = 1,848

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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.