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Finding the Fourth Proportional to 1,910.51, 2,863.94 and 611.09

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Solution

The fourth proportional to 1,910.51, 2,863.94 and 611.09 is: 916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.51 : 2,863.94 = 611.09 : x
  2. Step 2: Convert to fraction form
    1,910.51/2,863.94 = 611.09/x
  3. Step 3: Cross multiply
    1,910.51x = 2,863.94 × 611.09
  4. Step 4: Simplify right side
    1,910.51x = 1,750,107.72
  5. Step 5: Solve for x
    x = 1,750,107.72/1,910.51
  6. Step 6: Final answer
    x = 916.04

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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.