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Finding the Fourth Proportional to 2,899, 3,999.15 and 1,834.97

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Solution

The fourth proportional to 2,899, 3,999.15 and 1,834.97 is: 2,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899 : 3,999.15 = 1,834.97 : x
  2. Step 2: Convert to fraction form
    2,899/3,999.15 = 1,834.97/x
  3. Step 3: Cross multiply
    2,899x = 3,999.15 × 1,834.97
  4. Step 4: Simplify right side
    2,899x = 7,338,320.28
  5. Step 5: Solve for x
    x = 7,338,320.28/2,899
  6. Step 6: Final answer
    x = 2,531.33

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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.