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Finding the Fourth Proportional to 2,205.69, 3,043.86 and 1,274.19

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Solution

The fourth proportional to 2,205.69, 3,043.86 and 1,274.19 is: 1,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.69 : 3,043.86 = 1,274.19 : x
  2. Step 2: Convert to fraction form
    2,205.69/3,043.86 = 1,274.19/x
  3. Step 3: Cross multiply
    2,205.69x = 3,043.86 × 1,274.19
  4. Step 4: Simplify right side
    2,205.69x = 3,878,449.60
  5. Step 5: Solve for x
    x = 3,878,449.60/2,205.69
  6. Step 6: Final answer
    x = 1,758.38

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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.