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Finding the Fourth Proportional to 2,606.33, 3,596.81 and 1,427.42

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Solution

The fourth proportional to 2,606.33, 3,596.81 and 1,427.42 is: 1,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.33 : 3,596.81 = 1,427.42 : x
  2. Step 2: Convert to fraction form
    2,606.33/3,596.81 = 1,427.42/x
  3. Step 3: Cross multiply
    2,606.33x = 3,596.81 × 1,427.42
  4. Step 4: Simplify right side
    2,606.33x = 5,134,160.39
  5. Step 5: Solve for x
    x = 5,134,160.39/2,606.33
  6. Step 6: Final answer
    x = 1,969.88

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Why These Related Problems?

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