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Finding the Fourth Proportional to 3,021.35, 4,532.14 and 830.25

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Solution

The fourth proportional to 3,021.35, 4,532.14 and 830.25 is: 1,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.35 : 4,532.14 = 830.25 : x
  2. Step 2: Convert to fraction form
    3,021.35/4,532.14 = 830.25/x
  3. Step 3: Cross multiply
    3,021.35x = 4,532.14 × 830.25
  4. Step 4: Simplify right side
    3,021.35x = 3,762,805.60
  5. Step 5: Solve for x
    x = 3,762,805.60/3,021.35
  6. Step 6: Final answer
    x = 1,245.41

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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.