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Finding the Fourth Proportional to 3,073.31, 4,609.22 and 1,429.01

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Solution

The fourth proportional to 3,073.31, 4,609.22 and 1,429.01 is: 2,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.31 : 4,609.22 = 1,429.01 : x
  2. Step 2: Convert to fraction form
    3,073.31/4,609.22 = 1,429.01/x
  3. Step 3: Cross multiply
    3,073.31x = 4,609.22 × 1,429.01
  4. Step 4: Simplify right side
    3,073.31x = 6,586,591.28
  5. Step 5: Solve for x
    x = 6,586,591.28/3,073.31
  6. Step 6: Final answer
    x = 2,143.16

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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.