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Finding the Fourth Proportional to 3,133.42, 4,696.06 and 1,282.42

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Solution

The fourth proportional to 3,133.42, 4,696.06 and 1,282.42 is: 1,921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.42 : 4,696.06 = 1,282.42 : x
  2. Step 2: Convert to fraction form
    3,133.42/4,696.06 = 1,282.42/x
  3. Step 3: Cross multiply
    3,133.42x = 4,696.06 × 1,282.42
  4. Step 4: Simplify right side
    3,133.42x = 6,022,321.27
  5. Step 5: Solve for x
    x = 6,022,321.27/3,133.42
  6. Step 6: Final answer
    x = 1,921.96

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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.