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Finding the Fourth Proportional to 3,024.56, 4,537.00 and 833.24

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Solution

The fourth proportional to 3,024.56, 4,537.00 and 833.24 is: 1,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.56 : 4,537.00 = 833.24 : x
  2. Step 2: Convert to fraction form
    3,024.56/4,537.00 = 833.24/x
  3. Step 3: Cross multiply
    3,024.56x = 4,537.00 × 833.24
  4. Step 4: Simplify right side
    3,024.56x = 3,780,405.71
  5. Step 5: Solve for x
    x = 3,780,405.71/3,024.56
  6. Step 6: Final answer
    x = 1,249.90

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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.