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Finding the Fourth Proportional to 2,886.07, 4,329.82 and 834.07

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Solution

The fourth proportional to 2,886.07, 4,329.82 and 834.07 is: 1,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.07 : 4,329.82 = 834.07 : x
  2. Step 2: Convert to fraction form
    2,886.07/4,329.82 = 834.07/x
  3. Step 3: Cross multiply
    2,886.07x = 4,329.82 × 834.07
  4. Step 4: Simplify right side
    2,886.07x = 3,611,372.97
  5. Step 5: Solve for x
    x = 3,611,372.97/2,886.07
  6. Step 6: Final answer
    x = 1,251.31

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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.