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Finding the Fourth Proportional to 2,703.26, 3,731.70 and 2,005.84

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Solution

The fourth proportional to 2,703.26, 3,731.70 and 2,005.84 is: 2,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.26 : 3,731.70 = 2,005.84 : x
  2. Step 2: Convert to fraction form
    2,703.26/3,731.70 = 2,005.84/x
  3. Step 3: Cross multiply
    2,703.26x = 3,731.70 × 2,005.84
  4. Step 4: Simplify right side
    2,703.26x = 7,485,193.13
  5. Step 5: Solve for x
    x = 7,485,193.13/2,703.26
  6. Step 6: Final answer
    x = 2,768.95

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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.