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Finding the Fourth Proportional to 3,461.82, 5,191.65 and 996.81

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Solution

The fourth proportional to 3,461.82, 5,191.65 and 996.81 is: 1,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.82 : 5,191.65 = 996.81 : x
  2. Step 2: Convert to fraction form
    3,461.82/5,191.65 = 996.81/x
  3. Step 3: Cross multiply
    3,461.82x = 5,191.65 × 996.81
  4. Step 4: Simplify right side
    3,461.82x = 5,175,088.64
  5. Step 5: Solve for x
    x = 5,175,088.64/3,461.82
  6. Step 6: Final answer
    x = 1,494.90

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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.