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Finding the Fourth Proportional to 1,728.68, 2,378.77 and 1,654.97

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Solution

The fourth proportional to 1,728.68, 2,378.77 and 1,654.97 is: 2,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.68 : 2,378.77 = 1,654.97 : x
  2. Step 2: Convert to fraction form
    1,728.68/2,378.77 = 1,654.97/x
  3. Step 3: Cross multiply
    1,728.68x = 2,378.77 × 1,654.97
  4. Step 4: Simplify right side
    1,728.68x = 3,936,776.96
  5. Step 5: Solve for x
    x = 3,936,776.96/1,728.68
  6. Step 6: Final answer
    x = 2,277.34

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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.