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Finding the Fourth Proportional to 3,021, 4,532.16 and 1,073.16

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Solution

The fourth proportional to 3,021, 4,532.16 and 1,073.16 is: 1,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021 : 4,532.16 = 1,073.16 : x
  2. Step 2: Convert to fraction form
    3,021/4,532.16 = 1,073.16/x
  3. Step 3: Cross multiply
    3,021x = 4,532.16 × 1,073.16
  4. Step 4: Simplify right side
    3,021x = 4,863,732.83
  5. Step 5: Solve for x
    x = 4,863,732.83/3,021
  6. Step 6: Final answer
    x = 1,609.97

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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.