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Finding the Fourth Proportional to 2,469.04, 3,701.16 and 824.74

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Solution

The fourth proportional to 2,469.04, 3,701.16 and 824.74 is: 1,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.04 : 3,701.16 = 824.74 : x
  2. Step 2: Convert to fraction form
    2,469.04/3,701.16 = 824.74/x
  3. Step 3: Cross multiply
    2,469.04x = 3,701.16 × 824.74
  4. Step 4: Simplify right side
    2,469.04x = 3,052,494.70
  5. Step 5: Solve for x
    x = 3,052,494.70/2,469.04
  6. Step 6: Final answer
    x = 1,236.31

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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.