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Finding the Fourth Proportional to 3,021.44, 4,532.12 and 830.17

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Solution

The fourth proportional to 3,021.44, 4,532.12 and 830.17 is: 1,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.44 : 4,532.12 = 830.17 : x
  2. Step 2: Convert to fraction form
    3,021.44/4,532.12 = 830.17/x
  3. Step 3: Cross multiply
    3,021.44x = 4,532.12 × 830.17
  4. Step 4: Simplify right side
    3,021.44x = 3,762,430.06
  5. Step 5: Solve for x
    x = 3,762,430.06/3,021.44
  6. Step 6: Final answer
    x = 1,245.24

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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.