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Finding the Fourth Proportional to 2,207.84, 3,046.89 and 1,213.21

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Solution

The fourth proportional to 2,207.84, 3,046.89 and 1,213.21 is: 1,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.84 : 3,046.89 = 1,213.21 : x
  2. Step 2: Convert to fraction form
    2,207.84/3,046.89 = 1,213.21/x
  3. Step 3: Cross multiply
    2,207.84x = 3,046.89 × 1,213.21
  4. Step 4: Simplify right side
    2,207.84x = 3,696,517.42
  5. Step 5: Solve for x
    x = 3,696,517.42/2,207.84
  6. Step 6: Final answer
    x = 1,674.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.