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Finding the Fourth Proportional to 3,024.42, 4,536.72 and 833.31

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Solution

The fourth proportional to 3,024.42, 4,536.72 and 833.31 is: 1,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.42 : 4,536.72 = 833.31 : x
  2. Step 2: Convert to fraction form
    3,024.42/4,536.72 = 833.31/x
  3. Step 3: Cross multiply
    3,024.42x = 4,536.72 × 833.31
  4. Step 4: Simplify right side
    3,024.42x = 3,780,494.14
  5. Step 5: Solve for x
    x = 3,780,494.14/3,024.42
  6. Step 6: Final answer
    x = 1,249.99

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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.