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Finding the Fourth Proportional to 1,959.97, 2,705.93 and 1,741.27

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Solution

The fourth proportional to 1,959.97, 2,705.93 and 1,741.27 is: 2,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.97 : 2,705.93 = 1,741.27 : x
  2. Step 2: Convert to fraction form
    1,959.97/2,705.93 = 1,741.27/x
  3. Step 3: Cross multiply
    1,959.97x = 2,705.93 × 1,741.27
  4. Step 4: Simplify right side
    1,959.97x = 4,711,754.73
  5. Step 5: Solve for x
    x = 4,711,754.73/1,959.97
  6. Step 6: Final answer
    x = 2,403.99

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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.