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Finding the Fourth Proportional to 1,730.75, 2,387.54 and 1,171.43

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Solution

The fourth proportional to 1,730.75, 2,387.54 and 1,171.43 is: 1,615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.75 : 2,387.54 = 1,171.43 : x
  2. Step 2: Convert to fraction form
    1,730.75/2,387.54 = 1,171.43/x
  3. Step 3: Cross multiply
    1,730.75x = 2,387.54 × 1,171.43
  4. Step 4: Simplify right side
    1,730.75x = 2,796,835.93
  5. Step 5: Solve for x
    x = 2,796,835.93/1,730.75
  6. Step 6: Final answer
    x = 1,615.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.