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Finding the Fourth Proportional to 3,024.55, 4,536.28 and 832.80

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Solution

The fourth proportional to 3,024.55, 4,536.28 and 832.80 is: 1,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.55 : 4,536.28 = 832.80 : x
  2. Step 2: Convert to fraction form
    3,024.55/4,536.28 = 832.80/x
  3. Step 3: Cross multiply
    3,024.55x = 4,536.28 × 832.80
  4. Step 4: Simplify right side
    3,024.55x = 3,777,813.98
  5. Step 5: Solve for x
    x = 3,777,813.98/3,024.55
  6. Step 6: Final answer
    x = 1,249.05

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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.