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Finding the Fourth Proportional to 2,674.22, 4,011.12 and 824.99

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Solution

The fourth proportional to 2,674.22, 4,011.12 and 824.99 is: 1,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.22 : 4,011.12 = 824.99 : x
  2. Step 2: Convert to fraction form
    2,674.22/4,011.12 = 824.99/x
  3. Step 3: Cross multiply
    2,674.22x = 4,011.12 × 824.99
  4. Step 4: Simplify right side
    2,674.22x = 3,309,113.83
  5. Step 5: Solve for x
    x = 3,309,113.83/2,674.22
  6. Step 6: Final answer
    x = 1,237.42

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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.