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Finding the Fourth Proportional to 3,024.11, 4,536.17 and 833.02

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Solution

The fourth proportional to 3,024.11, 4,536.17 and 833.02 is: 1,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.11 : 4,536.17 = 833.02 : x
  2. Step 2: Convert to fraction form
    3,024.11/4,536.17 = 833.02/x
  3. Step 3: Cross multiply
    3,024.11x = 4,536.17 × 833.02
  4. Step 4: Simplify right side
    3,024.11x = 3,778,720.33
  5. Step 5: Solve for x
    x = 3,778,720.33/3,024.11
  6. Step 6: Final answer
    x = 1,249.53

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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.