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Finding the Fourth Proportional to 2,674.08, 4,011.36 and 825.22

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Solution

The fourth proportional to 2,674.08, 4,011.36 and 825.22 is: 1,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.08 : 4,011.36 = 825.22 : x
  2. Step 2: Convert to fraction form
    2,674.08/4,011.36 = 825.22/x
  3. Step 3: Cross multiply
    2,674.08x = 4,011.36 × 825.22
  4. Step 4: Simplify right side
    2,674.08x = 3,310,254.50
  5. Step 5: Solve for x
    x = 3,310,254.50/2,674.08
  6. Step 6: Final answer
    x = 1,237.90

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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.