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Finding the Fourth Proportional to 2,703.73, 3,731.75 and 1,757.88

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Solution

The fourth proportional to 2,703.73, 3,731.75 and 1,757.88 is: 2,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.73 : 3,731.75 = 1,757.88 : x
  2. Step 2: Convert to fraction form
    2,703.73/3,731.75 = 1,757.88/x
  3. Step 3: Cross multiply
    2,703.73x = 3,731.75 × 1,757.88
  4. Step 4: Simplify right side
    2,703.73x = 6,559,968.69
  5. Step 5: Solve for x
    x = 6,559,968.69/2,703.73
  6. Step 6: Final answer
    x = 2,426.27

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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.