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Finding the Fourth Proportional to 3,021.08, 4,531.54 and 829.80

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Solution

The fourth proportional to 3,021.08, 4,531.54 and 829.80 is: 1,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.08 : 4,531.54 = 829.80 : x
  2. Step 2: Convert to fraction form
    3,021.08/4,531.54 = 829.80/x
  3. Step 3: Cross multiply
    3,021.08x = 4,531.54 × 829.80
  4. Step 4: Simplify right side
    3,021.08x = 3,760,271.89
  5. Step 5: Solve for x
    x = 3,760,271.89/3,021.08
  6. Step 6: Final answer
    x = 1,244.68

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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.