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Finding the Fourth Proportional to 2,467.85, 3,701.84 and 824.09

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Solution

The fourth proportional to 2,467.85, 3,701.84 and 824.09 is: 1,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.85 : 3,701.84 = 824.09 : x
  2. Step 2: Convert to fraction form
    2,467.85/3,701.84 = 824.09/x
  3. Step 3: Cross multiply
    2,467.85x = 3,701.84 × 824.09
  4. Step 4: Simplify right side
    2,467.85x = 3,050,626.70
  5. Step 5: Solve for x
    x = 3,050,626.70/2,467.85
  6. Step 6: Final answer
    x = 1,236.15

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1.5x scale

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.