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Finding the Fourth Proportional to 2,109.25, 2,910.89 and 1,213.28

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Solution

The fourth proportional to 2,109.25, 2,910.89 and 1,213.28 is: 1,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.25 : 2,910.89 = 1,213.28 : x
  2. Step 2: Convert to fraction form
    2,109.25/2,910.89 = 1,213.28/x
  3. Step 3: Cross multiply
    2,109.25x = 2,910.89 × 1,213.28
  4. Step 4: Simplify right side
    2,109.25x = 3,531,717.19
  5. Step 5: Solve for x
    x = 3,531,717.19/2,109.25
  6. Step 6: Final answer
    x = 1,674.40

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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.